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Finding the Third Proportional to 1,143,956 and 1,727,657.50

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Solution

The third proportional to 1,143,956 and 1,727,657.50 is: 2,609,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,956 : 1,727,657.50 = 1,727,657.50 : x
  2. Step 2: Convert to fraction form
    1,143,956/1,727,657.50 = 1,727,657.50/x
  3. Step 3: Cross multiply
    1,143,956x = 1,727,657.50 × 1,727,657.50
  4. Step 4: Simplify right side
    1,143,956x = 2,984,800,437,306.25
  5. Step 5: Solve for x
    x = 2,984,800,437,306.25/1,143,956
  6. Step 6: Final answer
    x = 2,609,191.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.