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Finding the Third Proportional to 2,386,022 and 3,613,780

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Solution

The third proportional to 2,386,022 and 3,613,780 is: 5,473,296.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386,022 : 3,613,780 = 3,613,780 : x
  2. Step 2: Convert to fraction form
    2,386,022/3,613,780 = 3,613,780/x
  3. Step 3: Cross multiply
    2,386,022x = 3,613,780 × 3,613,780
  4. Step 4: Simplify right side
    2,386,022x = 13,059,405,888,400
  5. Step 5: Solve for x
    x = 13,059,405,888,400/2,386,022
  6. Step 6: Final answer
    x = 5,473,296.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.