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Finding the Third Proportional to 1,304,734.50 and 1,837,363.50

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Solution

The third proportional to 1,304,734.50 and 1,837,363.50 is: 2,587,426.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304,734.50 : 1,837,363.50 = 1,837,363.50 : x
  2. Step 2: Convert to fraction form
    1,304,734.50/1,837,363.50 = 1,837,363.50/x
  3. Step 3: Cross multiply
    1,304,734.50x = 1,837,363.50 × 1,837,363.50
  4. Step 4: Simplify right side
    1,304,734.50x = 3,375,904,631,132.25
  5. Step 5: Solve for x
    x = 3,375,904,631,132.25/1,304,734.50
  6. Step 6: Final answer
    x = 2,587,426.51

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.