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Finding the Third Proportional to 783,214 and 1,211,704

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Solution

The third proportional to 783,214 and 1,211,704 is: 1,874,617.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,214 : 1,211,704 = 1,211,704 : x
  2. Step 2: Convert to fraction form
    783,214/1,211,704 = 1,211,704/x
  3. Step 3: Cross multiply
    783,214x = 1,211,704 × 1,211,704
  4. Step 4: Simplify right side
    783,214x = 1,468,226,583,616
  5. Step 5: Solve for x
    x = 1,468,226,583,616/783,214
  6. Step 6: Final answer
    x = 1,874,617.39

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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.