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Finding the Third Proportional to 799,146 and 1,186,569

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Solution

The third proportional to 799,146 and 1,186,569 is: 1,761,813.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,146 : 1,186,569 = 1,186,569 : x
  2. Step 2: Convert to fraction form
    799,146/1,186,569 = 1,186,569/x
  3. Step 3: Cross multiply
    799,146x = 1,186,569 × 1,186,569
  4. Step 4: Simplify right side
    799,146x = 1,407,945,991,761
  5. Step 5: Solve for x
    x = 1,407,945,991,761/799,146
  6. Step 6: Final answer
    x = 1,761,813.23

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.