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Finding the Third Proportional to 1,869,344.16 and 3,997,756.69

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Solution

The third proportional to 1,869,344.16 and 3,997,756.69 is: 8,549,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869,344.16 : 3,997,756.69 = 3,997,756.69 : x
  2. Step 2: Convert to fraction form
    1,869,344.16/3,997,756.69 = 3,997,756.69/x
  3. Step 3: Cross multiply
    1,869,344.16x = 3,997,756.69 × 3,997,756.69
  4. Step 4: Simplify right side
    1,869,344.16x = 15,982,058,532,450.97
  5. Step 5: Solve for x
    x = 15,982,058,532,450.97/1,869,344.16
  6. Step 6: Final answer
    x = 8,549,553.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.