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Finding the Third Proportional to 641,574 and 1,298,700

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Solution

The third proportional to 641,574 and 1,298,700 is: 2,628,880.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,574 : 1,298,700 = 1,298,700 : x
  2. Step 2: Convert to fraction form
    641,574/1,298,700 = 1,298,700/x
  3. Step 3: Cross multiply
    641,574x = 1,298,700 × 1,298,700
  4. Step 4: Simplify right side
    641,574x = 1,686,621,690,000
  5. Step 5: Solve for x
    x = 1,686,621,690,000/641,574
  6. Step 6: Final answer
    x = 2,628,880.99

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.