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Finding the Third Proportional to 687,650 and 1,032,774

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Solution

The third proportional to 687,650 and 1,032,774 is: 1,551,111.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,650 : 1,032,774 = 1,032,774 : x
  2. Step 2: Convert to fraction form
    687,650/1,032,774 = 1,032,774/x
  3. Step 3: Cross multiply
    687,650x = 1,032,774 × 1,032,774
  4. Step 4: Simplify right side
    687,650x = 1,066,622,135,076
  5. Step 5: Solve for x
    x = 1,066,622,135,076/687,650
  6. Step 6: Final answer
    x = 1,551,111.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.