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Finding the Third Proportional to 488,845.76 and 1,011,521.67

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Solution

The third proportional to 488,845.76 and 1,011,521.67 is: 2,093,044.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,845.76 : 1,011,521.67 = 1,011,521.67 : x
  2. Step 2: Convert to fraction form
    488,845.76/1,011,521.67 = 1,011,521.67/x
  3. Step 3: Cross multiply
    488,845.76x = 1,011,521.67 × 1,011,521.67
  4. Step 4: Simplify right side
    488,845.76x = 1,023,176,092,672.80
  5. Step 5: Solve for x
    x = 1,023,176,092,672.80/488,845.76
  6. Step 6: Final answer
    x = 2,093,044.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.