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Finding the Third Proportional to 713,556 and 1,105,472

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Solution

The third proportional to 713,556 and 1,105,472 is: 1,712,645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,556 : 1,105,472 = 1,105,472 : x
  2. Step 2: Convert to fraction form
    713,556/1,105,472 = 1,105,472/x
  3. Step 3: Cross multiply
    713,556x = 1,105,472 × 1,105,472
  4. Step 4: Simplify right side
    713,556x = 1,222,068,342,784
  5. Step 5: Solve for x
    x = 1,222,068,342,784/713,556
  6. Step 6: Final answer
    x = 1,712,645.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.