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Finding the Third Proportional to 675,125 and 1,466,158

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Solution

The third proportional to 675,125 and 1,466,158 is: 3,184,031.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,125 : 1,466,158 = 1,466,158 : x
  2. Step 2: Convert to fraction form
    675,125/1,466,158 = 1,466,158/x
  3. Step 3: Cross multiply
    675,125x = 1,466,158 × 1,466,158
  4. Step 4: Simplify right side
    675,125x = 2,149,619,280,964
  5. Step 5: Solve for x
    x = 2,149,619,280,964/675,125
  6. Step 6: Final answer
    x = 3,184,031.52

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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.