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Finding the Third Proportional to 1,745,214 and 2,560,365

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Solution

The third proportional to 1,745,214 and 2,560,365 is: 3,756,255.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745,214 : 2,560,365 = 2,560,365 : x
  2. Step 2: Convert to fraction form
    1,745,214/2,560,365 = 2,560,365/x
  3. Step 3: Cross multiply
    1,745,214x = 2,560,365 × 2,560,365
  4. Step 4: Simplify right side
    1,745,214x = 6,555,468,933,225
  5. Step 5: Solve for x
    x = 6,555,468,933,225/1,745,214
  6. Step 6: Final answer
    x = 3,756,255.07

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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.