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Finding the Third Proportional to 2,386,016 and 3,613,772.50

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Solution

The third proportional to 2,386,016 and 3,613,772.50 is: 5,473,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386,016 : 3,613,772.50 = 3,613,772.50 : x
  2. Step 2: Convert to fraction form
    2,386,016/3,613,772.50 = 3,613,772.50/x
  3. Step 3: Cross multiply
    2,386,016x = 3,613,772.50 × 3,613,772.50
  4. Step 4: Simplify right side
    2,386,016x = 13,059,351,681,756.25
  5. Step 5: Solve for x
    x = 13,059,351,681,756.25/2,386,016
  6. Step 6: Final answer
    x = 5,473,287.56

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