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Finding the Third Proportional to 756,566 and 1,171,396

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Solution

The third proportional to 756,566 and 1,171,396 is: 1,813,679.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,566 : 1,171,396 = 1,171,396 : x
  2. Step 2: Convert to fraction form
    756,566/1,171,396 = 1,171,396/x
  3. Step 3: Cross multiply
    756,566x = 1,171,396 × 1,171,396
  4. Step 4: Simplify right side
    756,566x = 1,372,168,588,816
  5. Step 5: Solve for x
    x = 1,372,168,588,816/756,566
  6. Step 6: Final answer
    x = 1,813,679.95

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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.