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Finding the Third Proportional to 1,121,520.94 and 1,644,811.95

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Solution

The third proportional to 1,121,520.94 and 1,644,811.95 is: 2,412,265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121,520.94 : 1,644,811.95 = 1,644,811.95 : x
  2. Step 2: Convert to fraction form
    1,121,520.94/1,644,811.95 = 1,644,811.95/x
  3. Step 3: Cross multiply
    1,121,520.94x = 1,644,811.95 × 1,644,811.95
  4. Step 4: Simplify right side
    1,121,520.94x = 2,705,406,335,442.69
  5. Step 5: Solve for x
    x = 2,705,406,335,442.69/1,121,520.94
  6. Step 6: Final answer
    x = 2,412,265.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.