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Finding the Third Proportional to 2,064,909 and 4,428,753

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Solution

The third proportional to 2,064,909 and 4,428,753 is: 9,498,652.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064,909 : 4,428,753 = 4,428,753 : x
  2. Step 2: Convert to fraction form
    2,064,909/4,428,753 = 4,428,753/x
  3. Step 3: Cross multiply
    2,064,909x = 4,428,753 × 4,428,753
  4. Step 4: Simplify right side
    2,064,909x = 19,613,853,135,009
  5. Step 5: Solve for x
    x = 19,613,853,135,009/2,064,909
  6. Step 6: Final answer
    x = 9,498,652.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.