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Finding the Third Proportional to 933,776 and 1,419,132

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Solution

The third proportional to 933,776 and 1,419,132 is: 2,156,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,776 : 1,419,132 = 1,419,132 : x
  2. Step 2: Convert to fraction form
    933,776/1,419,132 = 1,419,132/x
  3. Step 3: Cross multiply
    933,776x = 1,419,132 × 1,419,132
  4. Step 4: Simplify right side
    933,776x = 2,013,935,633,424
  5. Step 5: Solve for x
    x = 2,013,935,633,424/933,776
  6. Step 6: Final answer
    x = 2,156,765.26

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.