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Finding the Third Proportional to 842,508 and 1,092,978

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Solution

The third proportional to 842,508 and 1,092,978 is: 1,417,910.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,508 : 1,092,978 = 1,092,978 : x
  2. Step 2: Convert to fraction form
    842,508/1,092,978 = 1,092,978/x
  3. Step 3: Cross multiply
    842,508x = 1,092,978 × 1,092,978
  4. Step 4: Simplify right side
    842,508x = 1,194,600,908,484
  5. Step 5: Solve for x
    x = 1,194,600,908,484/842,508
  6. Step 6: Final answer
    x = 1,417,910.46

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.