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Finding the Third Proportional to 1,077,522.75 and 2,318,505.19

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Solution

The third proportional to 1,077,522.75 and 2,318,505.19 is: 4,988,726.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,522.75 : 2,318,505.19 = 2,318,505.19 : x
  2. Step 2: Convert to fraction form
    1,077,522.75/2,318,505.19 = 2,318,505.19/x
  3. Step 3: Cross multiply
    1,077,522.75x = 2,318,505.19 × 2,318,505.19
  4. Step 4: Simplify right side
    1,077,522.75x = 5,375,466,304,464.41
  5. Step 5: Solve for x
    x = 5,375,466,304,464.41/1,077,522.75
  6. Step 6: Final answer
    x = 4,988,726.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.