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Finding the Third Proportional to 675,126 and 1,466,160

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Solution

The third proportional to 675,126 and 1,466,160 is: 3,184,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,126 : 1,466,160 = 1,466,160 : x
  2. Step 2: Convert to fraction form
    675,126/1,466,160 = 1,466,160/x
  3. Step 3: Cross multiply
    675,126x = 1,466,160 × 1,466,160
  4. Step 4: Simplify right side
    675,126x = 2,149,625,145,600
  5. Step 5: Solve for x
    x = 2,149,625,145,600/675,126
  6. Step 6: Final answer
    x = 3,184,035.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.