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Finding the Third Proportional to 485,448 and 1,064,208

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Solution

The third proportional to 485,448 and 1,064,208 is: 2,332,976.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,448 : 1,064,208 = 1,064,208 : x
  2. Step 2: Convert to fraction form
    485,448/1,064,208 = 1,064,208/x
  3. Step 3: Cross multiply
    485,448x = 1,064,208 × 1,064,208
  4. Step 4: Simplify right side
    485,448x = 1,132,538,667,264
  5. Step 5: Solve for x
    x = 1,132,538,667,264/485,448
  6. Step 6: Final answer
    x = 2,332,976.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.