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Finding the Third Proportional to 499,444.31 and 1,078,692.61

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Solution

The third proportional to 499,444.31 and 1,078,692.61 is: 2,329,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,444.31 : 1,078,692.61 = 1,078,692.61 : x
  2. Step 2: Convert to fraction form
    499,444.31/1,078,692.61 = 1,078,692.61/x
  3. Step 3: Cross multiply
    499,444.31x = 1,078,692.61 × 1,078,692.61
  4. Step 4: Simplify right side
    499,444.31x = 1,163,577,745,520.25
  5. Step 5: Solve for x
    x = 1,163,577,745,520.25/499,444.31
  6. Step 6: Final answer
    x = 2,329,744.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.