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Finding the Third Proportional to 447,948 and 974,625

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Solution

The third proportional to 447,948 and 974,625 is: 2,120,545.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,948 : 974,625 = 974,625 : x
  2. Step 2: Convert to fraction form
    447,948/974,625 = 974,625/x
  3. Step 3: Cross multiply
    447,948x = 974,625 × 974,625
  4. Step 4: Simplify right side
    447,948x = 949,893,890,625
  5. Step 5: Solve for x
    x = 949,893,890,625/447,948
  6. Step 6: Final answer
    x = 2,120,545.00

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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.