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Finding the Third Proportional to 611,400 and 1,296,793.50

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Solution

The third proportional to 611,400 and 1,296,793.50 is: 2,750,528.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,400 : 1,296,793.50 = 1,296,793.50 : x
  2. Step 2: Convert to fraction form
    611,400/1,296,793.50 = 1,296,793.50/x
  3. Step 3: Cross multiply
    611,400x = 1,296,793.50 × 1,296,793.50
  4. Step 4: Simplify right side
    611,400x = 1,681,673,381,642.25
  5. Step 5: Solve for x
    x = 1,681,673,381,642.25/611,400
  6. Step 6: Final answer
    x = 2,750,528.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.