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Finding the Third Proportional to 2,260,642.50 and 3,162,094.88

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Solution

The third proportional to 2,260,642.50 and 3,162,094.88 is: 4,423,009.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260,642.50 : 3,162,094.88 = 3,162,094.88 : x
  2. Step 2: Convert to fraction form
    2,260,642.50/3,162,094.88 = 3,162,094.88/x
  3. Step 3: Cross multiply
    2,260,642.50x = 3,162,094.88 × 3,162,094.88
  4. Step 4: Simplify right side
    2,260,642.50x = 9,998,843,998,501.27
  5. Step 5: Solve for x
    x = 9,998,843,998,501.27/2,260,642.50
  6. Step 6: Final answer
    x = 4,423,009.83

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.