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Finding the Third Proportional to 1,243,147.50 and 1,869,351.19

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Solution

The third proportional to 1,243,147.50 and 1,869,351.19 is: 2,810,988.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,147.50 : 1,869,351.19 = 1,869,351.19 : x
  2. Step 2: Convert to fraction form
    1,243,147.50/1,869,351.19 = 1,869,351.19/x
  3. Step 3: Cross multiply
    1,243,147.50x = 1,869,351.19 × 1,869,351.19
  4. Step 4: Simplify right side
    1,243,147.50x = 3,494,473,862,207.66
  5. Step 5: Solve for x
    x = 3,494,473,862,207.66/1,243,147.50
  6. Step 6: Final answer
    x = 2,810,988.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.