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Finding the Third Proportional to 713,676 and 972,070

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Solution

The third proportional to 713,676 and 972,070 is: 1,324,018.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,676 : 972,070 = 972,070 : x
  2. Step 2: Convert to fraction form
    713,676/972,070 = 972,070/x
  3. Step 3: Cross multiply
    713,676x = 972,070 × 972,070
  4. Step 4: Simplify right side
    713,676x = 944,920,084,900
  5. Step 5: Solve for x
    x = 944,920,084,900/713,676
  6. Step 6: Final answer
    x = 1,324,018.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.