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Finding the Third Proportional to 540,886.50 and 1,156,815

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Solution

The third proportional to 540,886.50 and 1,156,815 is: 2,474,125.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,886.50 : 1,156,815 = 1,156,815 : x
  2. Step 2: Convert to fraction form
    540,886.50/1,156,815 = 1,156,815/x
  3. Step 3: Cross multiply
    540,886.50x = 1,156,815 × 1,156,815
  4. Step 4: Simplify right side
    540,886.50x = 1,338,220,944,225
  5. Step 5: Solve for x
    x = 1,338,220,944,225/540,886.50
  6. Step 6: Final answer
    x = 2,474,125.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.