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Finding the Third Proportional to 2,853,810 and 4,178,331

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Solution

The third proportional to 2,853,810 and 4,178,331 is: 6,117,593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853,810 : 4,178,331 = 4,178,331 : x
  2. Step 2: Convert to fraction form
    2,853,810/4,178,331 = 4,178,331/x
  3. Step 3: Cross multiply
    2,853,810x = 4,178,331 × 4,178,331
  4. Step 4: Simplify right side
    2,853,810x = 17,458,449,945,561
  5. Step 5: Solve for x
    x = 17,458,449,945,561/2,853,810
  6. Step 6: Final answer
    x = 6,117,593.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.