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Finding the Third Proportional to 783,972 and 1,717,404

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Solution

The third proportional to 783,972 and 1,717,404 is: 3,762,221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,972 : 1,717,404 = 1,717,404 : x
  2. Step 2: Convert to fraction form
    783,972/1,717,404 = 1,717,404/x
  3. Step 3: Cross multiply
    783,972x = 1,717,404 × 1,717,404
  4. Step 4: Simplify right side
    783,972x = 2,949,476,499,216
  5. Step 5: Solve for x
    x = 2,949,476,499,216/783,972
  6. Step 6: Final answer
    x = 3,762,221.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.