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Finding the Third Proportional to 475,441.88 and 1,121,215.50

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Solution

The third proportional to 475,441.88 and 1,121,215.50 is: 2,644,117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,441.88 : 1,121,215.50 = 1,121,215.50 : x
  2. Step 2: Convert to fraction form
    475,441.88/1,121,215.50 = 1,121,215.50/x
  3. Step 3: Cross multiply
    475,441.88x = 1,121,215.50 × 1,121,215.50
  4. Step 4: Simplify right side
    475,441.88x = 1,257,124,197,440.25
  5. Step 5: Solve for x
    x = 1,257,124,197,440.25/475,441.88
  6. Step 6: Final answer
    x = 2,644,117.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.