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Finding the Third Proportional to 434,810 and 944,122

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Solution

The third proportional to 434,810 and 944,122 is: 2,050,013.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,810 : 944,122 = 944,122 : x
  2. Step 2: Convert to fraction form
    434,810/944,122 = 944,122/x
  3. Step 3: Cross multiply
    434,810x = 944,122 × 944,122
  4. Step 4: Simplify right side
    434,810x = 891,366,350,884
  5. Step 5: Solve for x
    x = 891,366,350,884/434,810
  6. Step 6: Final answer
    x = 2,050,013.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.