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Finding the Third Proportional to 680,966 and 954,355

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Solution

The third proportional to 680,966 and 954,355 is: 1,337,502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,966 : 954,355 = 954,355 : x
  2. Step 2: Convert to fraction form
    680,966/954,355 = 954,355/x
  3. Step 3: Cross multiply
    680,966x = 954,355 × 954,355
  4. Step 4: Simplify right side
    680,966x = 910,793,466,025
  5. Step 5: Solve for x
    x = 910,793,466,025/680,966
  6. Step 6: Final answer
    x = 1,337,502.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.