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Finding the Third Proportional to 2,386,019 and 3,613,778

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Solution

The third proportional to 2,386,019 and 3,613,778 is: 5,473,297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386,019 : 3,613,778 = 3,613,778 : x
  2. Step 2: Convert to fraction form
    2,386,019/3,613,778 = 3,613,778/x
  3. Step 3: Cross multiply
    2,386,019x = 3,613,778 × 3,613,778
  4. Step 4: Simplify right side
    2,386,019x = 13,059,391,433,284
  5. Step 5: Solve for x
    x = 13,059,391,433,284/2,386,019
  6. Step 6: Final answer
    x = 5,473,297.33

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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.