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Finding the Third Proportional to 2,135,706 and 4,542,708

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Solution

The third proportional to 2,135,706 and 4,542,708 is: 9,662,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135,706 : 4,542,708 = 4,542,708 : x
  2. Step 2: Convert to fraction form
    2,135,706/4,542,708 = 4,542,708/x
  3. Step 3: Cross multiply
    2,135,706x = 4,542,708 × 4,542,708
  4. Step 4: Simplify right side
    2,135,706x = 20,636,195,973,264
  5. Step 5: Solve for x
    x = 20,636,195,973,264/2,135,706
  6. Step 6: Final answer
    x = 9,662,470.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.