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Finding the Third Proportional to 2,386,026 and 3,613,786

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Solution

The third proportional to 2,386,026 and 3,613,786 is: 5,473,305.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386,026 : 3,613,786 = 3,613,786 : x
  2. Step 2: Convert to fraction form
    2,386,026/3,613,786 = 3,613,786/x
  3. Step 3: Cross multiply
    2,386,026x = 3,613,786 × 3,613,786
  4. Step 4: Simplify right side
    2,386,026x = 13,059,449,253,796
  5. Step 5: Solve for x
    x = 13,059,449,253,796/2,386,026
  6. Step 6: Final answer
    x = 5,473,305.51

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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.