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Finding the Third Proportional to 2,281,434.75 and 4,952,835

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Solution

The third proportional to 2,281,434.75 and 4,952,835 is: 10,752,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281,434.75 : 4,952,835 = 4,952,835 : x
  2. Step 2: Convert to fraction form
    2,281,434.75/4,952,835 = 4,952,835/x
  3. Step 3: Cross multiply
    2,281,434.75x = 4,952,835 × 4,952,835
  4. Step 4: Simplify right side
    2,281,434.75x = 24,530,574,537,225
  5. Step 5: Solve for x
    x = 24,530,574,537,225/2,281,434.75
  6. Step 6: Final answer
    x = 10,752,257.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.