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Finding the Third Proportional to 1,162,117.76 and 2,510,967.73

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Solution

The third proportional to 1,162,117.76 and 2,510,967.73 is: 5,425,404.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162,117.76 : 2,510,967.73 = 2,510,967.73 : x
  2. Step 2: Convert to fraction form
    1,162,117.76/2,510,967.73 = 2,510,967.73/x
  3. Step 3: Cross multiply
    1,162,117.76x = 2,510,967.73 × 2,510,967.73
  4. Step 4: Simplify right side
    1,162,117.76x = 6,304,958,923,838.45
  5. Step 5: Solve for x
    x = 6,304,958,923,838.45/1,162,117.76
  6. Step 6: Final answer
    x = 5,425,404.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.