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Finding the Third Proportional to 743,680 and 1,117,216

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Solution

The third proportional to 743,680 and 1,117,216 is: 1,678,371.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,680 : 1,117,216 = 1,117,216 : x
  2. Step 2: Convert to fraction form
    743,680/1,117,216 = 1,117,216/x
  3. Step 3: Cross multiply
    743,680x = 1,117,216 × 1,117,216
  4. Step 4: Simplify right side
    743,680x = 1,248,171,590,656
  5. Step 5: Solve for x
    x = 1,248,171,590,656/743,680
  6. Step 6: Final answer
    x = 1,678,371.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.