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Finding the Third Proportional to 1,662,463.41 and 3,581,385.47

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Solution

The third proportional to 1,662,463.41 and 3,581,385.47 is: 7,715,250.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662,463.41 : 3,581,385.47 = 3,581,385.47 : x
  2. Step 2: Convert to fraction form
    1,662,463.41/3,581,385.47 = 3,581,385.47/x
  3. Step 3: Cross multiply
    1,662,463.41x = 3,581,385.47 × 3,581,385.47
  4. Step 4: Simplify right side
    1,662,463.41x = 12,826,321,875,773.66
  5. Step 5: Solve for x
    x = 12,826,321,875,773.66/1,662,463.41
  6. Step 6: Final answer
    x = 7,715,250.65

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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.