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Finding the Third Proportional to 2,581,575.75 and 3,797,626.50

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Solution

The third proportional to 2,581,575.75 and 3,797,626.50 is: 5,586,497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581,575.75 : 3,797,626.50 = 3,797,626.50 : x
  2. Step 2: Convert to fraction form
    2,581,575.75/3,797,626.50 = 3,797,626.50/x
  3. Step 3: Cross multiply
    2,581,575.75x = 3,797,626.50 × 3,797,626.50
  4. Step 4: Simplify right side
    2,581,575.75x = 14,421,967,033,502.25
  5. Step 5: Solve for x
    x = 14,421,967,033,502.25/2,581,575.75
  6. Step 6: Final answer
    x = 5,586,497.72

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.