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Finding the Third Proportional to 687,904 and 1,042,242

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Solution

The third proportional to 687,904 and 1,042,242 is: 1,579,098.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,904 : 1,042,242 = 1,042,242 : x
  2. Step 2: Convert to fraction form
    687,904/1,042,242 = 1,042,242/x
  3. Step 3: Cross multiply
    687,904x = 1,042,242 × 1,042,242
  4. Step 4: Simplify right side
    687,904x = 1,086,268,386,564
  5. Step 5: Solve for x
    x = 1,086,268,386,564/687,904
  6. Step 6: Final answer
    x = 1,579,098.81

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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.