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Finding the Third Proportional to 687,020 and 1,038,048

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Solution

The third proportional to 687,020 and 1,038,048 is: 1,568,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,020 : 1,038,048 = 1,038,048 : x
  2. Step 2: Convert to fraction form
    687,020/1,038,048 = 1,038,048/x
  3. Step 3: Cross multiply
    687,020x = 1,038,048 × 1,038,048
  4. Step 4: Simplify right side
    687,020x = 1,077,543,650,304
  5. Step 5: Solve for x
    x = 1,077,543,650,304/687,020
  6. Step 6: Final answer
    x = 1,568,431.27

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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.