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Finding the Third Proportional to 782,871 and 1,199,579

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Solution

The third proportional to 782,871 and 1,199,579 is: 1,838,093.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,871 : 1,199,579 = 1,199,579 : x
  2. Step 2: Convert to fraction form
    782,871/1,199,579 = 1,199,579/x
  3. Step 3: Cross multiply
    782,871x = 1,199,579 × 1,199,579
  4. Step 4: Simplify right side
    782,871x = 1,438,989,777,241
  5. Step 5: Solve for x
    x = 1,438,989,777,241/782,871
  6. Step 6: Final answer
    x = 1,838,093.09

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.