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Finding the Third Proportional to 783,938 and 1,717,344

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Solution

The third proportional to 783,938 and 1,717,344 is: 3,762,122.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,938 : 1,717,344 = 1,717,344 : x
  2. Step 2: Convert to fraction form
    783,938/1,717,344 = 1,717,344/x
  3. Step 3: Cross multiply
    783,938x = 1,717,344 × 1,717,344
  4. Step 4: Simplify right side
    783,938x = 2,949,270,414,336
  5. Step 5: Solve for x
    x = 2,949,270,414,336/783,938
  6. Step 6: Final answer
    x = 3,762,122.02

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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.