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Finding the Third Proportional to 974,747.25 and 2,173,618.88

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Solution

The third proportional to 974,747.25 and 2,173,618.88 is: 4,847,019.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,747.25 : 2,173,618.88 = 2,173,618.88 : x
  2. Step 2: Convert to fraction form
    974,747.25/2,173,618.88 = 2,173,618.88/x
  3. Step 3: Cross multiply
    974,747.25x = 2,173,618.88 × 2,173,618.88
  4. Step 4: Simplify right side
    974,747.25x = 4,724,619,013,756.27
  5. Step 5: Solve for x
    x = 4,724,619,013,756.27/974,747.25
  6. Step 6: Final answer
    x = 4,847,019.59

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.