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Finding the Third Proportional to 1,743,779 and 3,762,742

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Solution

The third proportional to 1,743,779 and 3,762,742 is: 8,119,278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,779 : 3,762,742 = 3,762,742 : x
  2. Step 2: Convert to fraction form
    1,743,779/3,762,742 = 3,762,742/x
  3. Step 3: Cross multiply
    1,743,779x = 3,762,742 × 3,762,742
  4. Step 4: Simplify right side
    1,743,779x = 14,158,227,358,564
  5. Step 5: Solve for x
    x = 14,158,227,358,564/1,743,779
  6. Step 6: Final answer
    x = 8,119,278.51

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Why These Related Problems?

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