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Finding the Third Proportional to 442,122 and 900,502.13

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Solution

The third proportional to 442,122 and 900,502.13 is: 1,834,118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,122 : 900,502.13 = 900,502.13 : x
  2. Step 2: Convert to fraction form
    442,122/900,502.13 = 900,502.13/x
  3. Step 3: Cross multiply
    442,122x = 900,502.13 × 900,502.13
  4. Step 4: Simplify right side
    442,122x = 810,904,077,129.52
  5. Step 5: Solve for x
    x = 810,904,077,129.52/442,122
  6. Step 6: Final answer
    x = 1,834,118.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.