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Finding the Third Proportional to 996,246.38 and 2,137,624.50

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Solution

The third proportional to 996,246.38 and 2,137,624.50 is: 4,586,655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,246.38 : 2,137,624.50 = 2,137,624.50 : x
  2. Step 2: Convert to fraction form
    996,246.38/2,137,624.50 = 2,137,624.50/x
  3. Step 3: Cross multiply
    996,246.38x = 2,137,624.50 × 2,137,624.50
  4. Step 4: Simplify right side
    996,246.38x = 4,569,438,503,000.25
  5. Step 5: Solve for x
    x = 4,569,438,503,000.25/996,246.38
  6. Step 6: Final answer
    x = 4,586,655.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.