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Finding the Third Proportional to 1,747,864.55 and 4,120,202.81

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Solution

The third proportional to 1,747,864.55 and 4,120,202.81 is: 9,712,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747,864.55 : 4,120,202.81 = 4,120,202.81 : x
  2. Step 2: Convert to fraction form
    1,747,864.55/4,120,202.81 = 4,120,202.81/x
  3. Step 3: Cross multiply
    1,747,864.55x = 4,120,202.81 × 4,120,202.81
  4. Step 4: Simplify right side
    1,747,864.55x = 16,976,071,216,132.91
  5. Step 5: Solve for x
    x = 16,976,071,216,132.91/1,747,864.55
  6. Step 6: Final answer
    x = 9,712,463.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.