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Finding the Third Proportional to 560,829,426.75 and 1,298,218,576.50

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Solution

The third proportional to 560,829,426.75 and 1,298,218,576.50 is: 3,005,140,943.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,829,426.75 : 1,298,218,576.50 = 1,298,218,576.50 : x
  2. Step 2: Convert to fraction form
    560,829,426.75/1,298,218,576.50 = 1,298,218,576.50/x
  3. Step 3: Cross multiply
    560,829,426.75x = 1,298,218,576.50 × 1,298,218,576.50
  4. Step 4: Simplify right side
    560,829,426.75x = 1,685,371,472,369,686,272
  5. Step 5: Solve for x
    x = 1,685,371,472,369,686,272/560,829,426.75
  6. Step 6: Final answer
    x = 3,005,140,943.01

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.