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Finding the Third Proportional to 787,781 and 1,718,146

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Solution

The third proportional to 787,781 and 1,718,146 is: 3,747,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,781 : 1,718,146 = 1,718,146 : x
  2. Step 2: Convert to fraction form
    787,781/1,718,146 = 1,718,146/x
  3. Step 3: Cross multiply
    787,781x = 1,718,146 × 1,718,146
  4. Step 4: Simplify right side
    787,781x = 2,952,025,677,316
  5. Step 5: Solve for x
    x = 2,952,025,677,316/787,781
  6. Step 6: Final answer
    x = 3,747,266.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.