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Finding the Third Proportional to 762,108 and 1,122,108

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Solution

The third proportional to 762,108 and 1,122,108 is: 1,652,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,108 : 1,122,108 = 1,122,108 : x
  2. Step 2: Convert to fraction form
    762,108/1,122,108 = 1,122,108/x
  3. Step 3: Cross multiply
    762,108x = 1,122,108 × 1,122,108
  4. Step 4: Simplify right side
    762,108x = 1,259,126,363,664
  5. Step 5: Solve for x
    x = 1,259,126,363,664/762,108
  6. Step 6: Final answer
    x = 1,652,162.64

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Why These Related Problems?

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