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Finding the Third Proportional to 442,121.63 and 900,501.38

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Solution

The third proportional to 442,121.63 and 900,501.38 is: 1,834,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,121.63 : 900,501.38 = 900,501.38 : x
  2. Step 2: Convert to fraction form
    442,121.63/900,501.38 = 900,501.38/x
  3. Step 3: Cross multiply
    442,121.63x = 900,501.38 × 900,501.38
  4. Step 4: Simplify right side
    442,121.63x = 810,902,726,376.89
  5. Step 5: Solve for x
    x = 810,902,726,376.89/442,121.63
  6. Step 6: Final answer
    x = 1,834,116.86

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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.