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Finding the Third Proportional to 687,936 and 1,042,292

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Solution

The third proportional to 687,936 and 1,042,292 is: 1,579,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,936 : 1,042,292 = 1,042,292 : x
  2. Step 2: Convert to fraction form
    687,936/1,042,292 = 1,042,292/x
  3. Step 3: Cross multiply
    687,936x = 1,042,292 × 1,042,292
  4. Step 4: Simplify right side
    687,936x = 1,086,372,613,264
  5. Step 5: Solve for x
    x = 1,086,372,613,264/687,936
  6. Step 6: Final answer
    x = 1,579,176.86

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.