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Finding the Third Proportional to 433,909 and 934,424

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Solution

The third proportional to 433,909 and 934,424 is: 2,012,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,909 : 934,424 = 934,424 : x
  2. Step 2: Convert to fraction form
    433,909/934,424 = 934,424/x
  3. Step 3: Cross multiply
    433,909x = 934,424 × 934,424
  4. Step 4: Simplify right side
    433,909x = 873,148,211,776
  5. Step 5: Solve for x
    x = 873,148,211,776/433,909
  6. Step 6: Final answer
    x = 2,012,284.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.