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Finding the Third Proportional to 687,022 and 1,038,051

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Solution

The third proportional to 687,022 and 1,038,051 is: 1,568,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,022 : 1,038,051 = 1,038,051 : x
  2. Step 2: Convert to fraction form
    687,022/1,038,051 = 1,038,051/x
  3. Step 3: Cross multiply
    687,022x = 1,038,051 × 1,038,051
  4. Step 4: Simplify right side
    687,022x = 1,077,549,878,601
  5. Step 5: Solve for x
    x = 1,077,549,878,601/687,022
  6. Step 6: Final answer
    x = 1,568,435.77

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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.