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Finding the Third Proportional to 1,964,737.13 and 2,934,973.13

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Solution

The third proportional to 1,964,737.13 and 2,934,973.13 is: 4,384,335.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964,737.13 : 2,934,973.13 = 2,934,973.13 : x
  2. Step 2: Convert to fraction form
    1,964,737.13/2,934,973.13 = 2,934,973.13/x
  3. Step 3: Cross multiply
    1,964,737.13x = 2,934,973.13 × 2,934,973.13
  4. Step 4: Simplify right side
    1,964,737.13x = 8,614,067,244,472.27
  5. Step 5: Solve for x
    x = 8,614,067,244,472.27/1,964,737.13
  6. Step 6: Final answer
    x = 4,384,335.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.