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Finding the Third Proportional to 1,418,652.50 and 2,258,448

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Solution

The third proportional to 1,418,652.50 and 2,258,448 is: 3,595,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418,652.50 : 2,258,448 = 2,258,448 : x
  2. Step 2: Convert to fraction form
    1,418,652.50/2,258,448 = 2,258,448/x
  3. Step 3: Cross multiply
    1,418,652.50x = 2,258,448 × 2,258,448
  4. Step 4: Simplify right side
    1,418,652.50x = 5,100,587,368,704
  5. Step 5: Solve for x
    x = 5,100,587,368,704/1,418,652.50
  6. Step 6: Final answer
    x = 3,595,374.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.