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Finding the Third Proportional to 2,135,708 and 4,542,712

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Solution

The third proportional to 2,135,708 and 4,542,712 is: 9,662,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135,708 : 4,542,712 = 4,542,712 : x
  2. Step 2: Convert to fraction form
    2,135,708/4,542,712 = 4,542,712/x
  3. Step 3: Cross multiply
    2,135,708x = 4,542,712 × 4,542,712
  4. Step 4: Simplify right side
    2,135,708x = 20,636,232,314,944
  5. Step 5: Solve for x
    x = 20,636,232,314,944/2,135,708
  6. Step 6: Final answer
    x = 9,662,478.35

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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.