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Finding the Third Proportional to 2,064,691 and 4,445,742

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Solution

The third proportional to 2,064,691 and 4,445,742 is: 9,572,677.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064,691 : 4,445,742 = 4,445,742 : x
  2. Step 2: Convert to fraction form
    2,064,691/4,445,742 = 4,445,742/x
  3. Step 3: Cross multiply
    2,064,691x = 4,445,742 × 4,445,742
  4. Step 4: Simplify right side
    2,064,691x = 19,764,621,930,564
  5. Step 5: Solve for x
    x = 19,764,621,930,564/2,064,691
  6. Step 6: Final answer
    x = 9,572,677.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.