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Finding the Third Proportional to 1,352,521.13 and 2,024,542.69

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Solution

The third proportional to 1,352,521.13 and 2,024,542.69 is: 3,030,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352,521.13 : 2,024,542.69 = 2,024,542.69 : x
  2. Step 2: Convert to fraction form
    1,352,521.13/2,024,542.69 = 2,024,542.69/x
  3. Step 3: Cross multiply
    1,352,521.13x = 2,024,542.69 × 2,024,542.69
  4. Step 4: Simplify right side
    1,352,521.13x = 4,098,773,093,509.72
  5. Step 5: Solve for x
    x = 4,098,773,093,509.72/1,352,521.13
  6. Step 6: Final answer
    x = 3,030,468.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.