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Finding the Third Proportional to 442,121.75 and 900,501.75

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Solution

The third proportional to 442,121.75 and 900,501.75 is: 1,834,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,121.75 : 900,501.75 = 900,501.75 : x
  2. Step 2: Convert to fraction form
    442,121.75/900,501.75 = 900,501.75/x
  3. Step 3: Cross multiply
    442,121.75x = 900,501.75 × 900,501.75
  4. Step 4: Simplify right side
    442,121.75x = 810,903,401,753.06
  5. Step 5: Solve for x
    x = 810,903,401,753.06/442,121.75
  6. Step 6: Final answer
    x = 1,834,117.87

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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.