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Finding the Third Proportional to 2,032,731 and 4,419,742.50

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Solution

The third proportional to 2,032,731 and 4,419,742.50 is: 9,609,792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,731 : 4,419,742.50 = 4,419,742.50 : x
  2. Step 2: Convert to fraction form
    2,032,731/4,419,742.50 = 4,419,742.50/x
  3. Step 3: Cross multiply
    2,032,731x = 4,419,742.50 × 4,419,742.50
  4. Step 4: Simplify right side
    2,032,731x = 19,534,123,766,306.25
  5. Step 5: Solve for x
    x = 19,534,123,766,306.25/2,032,731
  6. Step 6: Final answer
    x = 9,609,792.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.