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Finding the Third Proportional to 594,747 and 1,286,266.50

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Solution

The third proportional to 594,747 and 1,286,266.50 is: 2,781,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,747 : 1,286,266.50 = 1,286,266.50 : x
  2. Step 2: Convert to fraction form
    594,747/1,286,266.50 = 1,286,266.50/x
  3. Step 3: Cross multiply
    594,747x = 1,286,266.50 × 1,286,266.50
  4. Step 4: Simplify right side
    594,747x = 1,654,481,509,022.25
  5. Step 5: Solve for x
    x = 1,654,481,509,022.25/594,747
  6. Step 6: Final answer
    x = 2,781,824.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.