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Finding the Third Proportional to 710,569.97 and 1,092,211.59

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Solution

The third proportional to 710,569.97 and 1,092,211.59 is: 1,678,829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,569.97 : 1,092,211.59 = 1,092,211.59 : x
  2. Step 2: Convert to fraction form
    710,569.97/1,092,211.59 = 1,092,211.59/x
  3. Step 3: Cross multiply
    710,569.97x = 1,092,211.59 × 1,092,211.59
  4. Step 4: Simplify right side
    710,569.97x = 1,192,926,165,521.92
  5. Step 5: Solve for x
    x = 1,192,926,165,521.92/710,569.97
  6. Step 6: Final answer
    x = 1,678,829.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.