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Finding the Third Proportional to 1,761,858 and 3,847,294.13

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Solution

The third proportional to 1,761,858 and 3,847,294.13 is: 8,401,171.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761,858 : 3,847,294.13 = 3,847,294.13 : x
  2. Step 2: Convert to fraction form
    1,761,858/3,847,294.13 = 3,847,294.13/x
  3. Step 3: Cross multiply
    1,761,858x = 3,847,294.13 × 3,847,294.13
  4. Step 4: Simplify right side
    1,761,858x = 14,801,672,084,259.52
  5. Step 5: Solve for x
    x = 14,801,672,084,259.52/1,761,858
  6. Step 6: Final answer
    x = 8,401,171.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.