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Finding the Third Proportional to 1,142,778 and 2,437,431

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Solution

The third proportional to 1,142,778 and 2,437,431 is: 5,198,796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,778 : 2,437,431 = 2,437,431 : x
  2. Step 2: Convert to fraction form
    1,142,778/2,437,431 = 2,437,431/x
  3. Step 3: Cross multiply
    1,142,778x = 2,437,431 × 2,437,431
  4. Step 4: Simplify right side
    1,142,778x = 5,941,069,879,761
  5. Step 5: Solve for x
    x = 5,941,069,879,761/1,142,778
  6. Step 6: Final answer
    x = 5,198,796.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.