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Finding the Third Proportional to 675,201 and 1,045,149

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Solution

The third proportional to 675,201 and 1,045,149 is: 1,617,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,201 : 1,045,149 = 1,045,149 : x
  2. Step 2: Convert to fraction form
    675,201/1,045,149 = 1,045,149/x
  3. Step 3: Cross multiply
    675,201x = 1,045,149 × 1,045,149
  4. Step 4: Simplify right side
    675,201x = 1,092,336,432,201
  5. Step 5: Solve for x
    x = 1,092,336,432,201/675,201
  6. Step 6: Final answer
    x = 1,617,794.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.