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Finding the Third Proportional to 1,206,304.50 and 1,837,758

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Solution

The third proportional to 1,206,304.50 and 1,837,758 is: 2,799,752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,304.50 : 1,837,758 = 1,837,758 : x
  2. Step 2: Convert to fraction form
    1,206,304.50/1,837,758 = 1,837,758/x
  3. Step 3: Cross multiply
    1,206,304.50x = 1,837,758 × 1,837,758
  4. Step 4: Simplify right side
    1,206,304.50x = 3,377,354,466,564
  5. Step 5: Solve for x
    x = 3,377,354,466,564/1,206,304.50
  6. Step 6: Final answer
    x = 2,799,752.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.