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Finding the Third Proportional to 1,176,800 and 1,818,408

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Solution

The third proportional to 1,176,800 and 1,818,408 is: 2,809,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176,800 : 1,818,408 = 1,818,408 : x
  2. Step 2: Convert to fraction form
    1,176,800/1,818,408 = 1,818,408/x
  3. Step 3: Cross multiply
    1,176,800x = 1,818,408 × 1,818,408
  4. Step 4: Simplify right side
    1,176,800x = 3,306,607,654,464
  5. Step 5: Solve for x
    x = 3,306,607,654,464/1,176,800
  6. Step 6: Final answer
    x = 2,809,829.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.