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Finding the Third Proportional to 762,098 and 1,122,093

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Solution

The third proportional to 762,098 and 1,122,093 is: 1,652,140.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,098 : 1,122,093 = 1,122,093 : x
  2. Step 2: Convert to fraction form
    762,098/1,122,093 = 1,122,093/x
  3. Step 3: Cross multiply
    762,098x = 1,122,093 × 1,122,093
  4. Step 4: Simplify right side
    762,098x = 1,259,092,700,649
  5. Step 5: Solve for x
    x = 1,259,092,700,649/762,098
  6. Step 6: Final answer
    x = 1,652,140.15

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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.