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Finding the Third Proportional to 502,610 and 1,092,484

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Solution

The third proportional to 502,610 and 1,092,484 is: 2,374,646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,610 : 1,092,484 = 1,092,484 : x
  2. Step 2: Convert to fraction form
    502,610/1,092,484 = 1,092,484/x
  3. Step 3: Cross multiply
    502,610x = 1,092,484 × 1,092,484
  4. Step 4: Simplify right side
    502,610x = 1,193,521,290,256
  5. Step 5: Solve for x
    x = 1,193,521,290,256/502,610
  6. Step 6: Final answer
    x = 2,374,646.92

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.