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Finding the Third Proportional to 447,897 and 974,523

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Solution

The third proportional to 447,897 and 974,523 is: 2,120,342.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,897 : 974,523 = 974,523 : x
  2. Step 2: Convert to fraction form
    447,897/974,523 = 974,523/x
  3. Step 3: Cross multiply
    447,897x = 974,523 × 974,523
  4. Step 4: Simplify right side
    447,897x = 949,695,077,529
  5. Step 5: Solve for x
    x = 949,695,077,529/447,897
  6. Step 6: Final answer
    x = 2,120,342.57

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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.