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Finding the Third Proportional to 647,795.50 and 1,423,127

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Solution

The third proportional to 647,795.50 and 1,423,127 is: 3,126,434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,795.50 : 1,423,127 = 1,423,127 : x
  2. Step 2: Convert to fraction form
    647,795.50/1,423,127 = 1,423,127/x
  3. Step 3: Cross multiply
    647,795.50x = 1,423,127 × 1,423,127
  4. Step 4: Simplify right side
    647,795.50x = 2,025,290,458,129
  5. Step 5: Solve for x
    x = 2,025,290,458,129/647,795.50
  6. Step 6: Final answer
    x = 3,126,434.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.