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Finding the Third Proportional to 1,872,169.50 and 4,042,660.50

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Solution

The third proportional to 1,872,169.50 and 4,042,660.50 is: 8,729,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872,169.50 : 4,042,660.50 = 4,042,660.50 : x
  2. Step 2: Convert to fraction form
    1,872,169.50/4,042,660.50 = 4,042,660.50/x
  3. Step 3: Cross multiply
    1,872,169.50x = 4,042,660.50 × 4,042,660.50
  4. Step 4: Simplify right side
    1,872,169.50x = 16,343,103,918,260.25
  5. Step 5: Solve for x
    x = 16,343,103,918,260.25/1,872,169.50
  6. Step 6: Final answer
    x = 8,729,500.14

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