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Finding the Third Proportional to 687,015 and 1,038,042

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Solution

The third proportional to 687,015 and 1,038,042 is: 1,568,424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,015 : 1,038,042 = 1,038,042 : x
  2. Step 2: Convert to fraction form
    687,015/1,038,042 = 1,038,042/x
  3. Step 3: Cross multiply
    687,015x = 1,038,042 × 1,038,042
  4. Step 4: Simplify right side
    687,015x = 1,077,531,193,764
  5. Step 5: Solve for x
    x = 1,077,531,193,764/687,015
  6. Step 6: Final answer
    x = 1,568,424.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.