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Finding the Third Proportional to 713,669 and 972,061

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Solution

The third proportional to 713,669 and 972,061 is: 1,324,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,669 : 972,061 = 972,061 : x
  2. Step 2: Convert to fraction form
    713,669/972,061 = 972,061/x
  3. Step 3: Cross multiply
    713,669x = 972,061 × 972,061
  4. Step 4: Simplify right side
    713,669x = 944,902,587,721
  5. Step 5: Solve for x
    x = 944,902,587,721/713,669
  6. Step 6: Final answer
    x = 1,324,006.77

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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.