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Finding the Third Proportional to 1,183,755 and 2,566,701

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Solution

The third proportional to 1,183,755 and 2,566,701 is: 5,565,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183,755 : 2,566,701 = 2,566,701 : x
  2. Step 2: Convert to fraction form
    1,183,755/2,566,701 = 2,566,701/x
  3. Step 3: Cross multiply
    1,183,755x = 2,566,701 × 2,566,701
  4. Step 4: Simplify right side
    1,183,755x = 6,587,954,023,401
  5. Step 5: Solve for x
    x = 6,587,954,023,401/1,183,755
  6. Step 6: Final answer
    x = 5,565,301.96

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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.