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Finding the Third Proportional to 447,890 and 974,508

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Solution

The third proportional to 447,890 and 974,508 is: 2,120,310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,890 : 974,508 = 974,508 : x
  2. Step 2: Convert to fraction form
    447,890/974,508 = 974,508/x
  3. Step 3: Cross multiply
    447,890x = 974,508 × 974,508
  4. Step 4: Simplify right side
    447,890x = 949,665,842,064
  5. Step 5: Solve for x
    x = 949,665,842,064/447,890
  6. Step 6: Final answer
    x = 2,120,310.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.