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Finding the Third Proportional to 4,028,742 and 6,247,341

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Solution

The third proportional to 4,028,742 and 6,247,341 is: 9,687,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,028,742 : 6,247,341 = 6,247,341 : x
  2. Step 2: Convert to fraction form
    4,028,742/6,247,341 = 6,247,341/x
  3. Step 3: Cross multiply
    4,028,742x = 6,247,341 × 6,247,341
  4. Step 4: Simplify right side
    4,028,742x = 39,029,269,570,281
  5. Step 5: Solve for x
    x = 39,029,269,570,281/4,028,742
  6. Step 6: Final answer
    x = 9,687,706.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.