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Finding the Third Proportional to 1,142,448 and 2,465,256

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Solution

The third proportional to 1,142,448 and 2,465,256 is: 5,319,705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,448 : 2,465,256 = 2,465,256 : x
  2. Step 2: Convert to fraction form
    1,142,448/2,465,256 = 2,465,256/x
  3. Step 3: Cross multiply
    1,142,448x = 2,465,256 × 2,465,256
  4. Step 4: Simplify right side
    1,142,448x = 6,077,487,145,536
  5. Step 5: Solve for x
    x = 6,077,487,145,536/1,142,448
  6. Step 6: Final answer
    x = 5,319,705.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.