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Finding the Third Proportional to 771,732 and 1,194,822

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Solution

The third proportional to 771,732 and 1,194,822 is: 1,849,864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,732 : 1,194,822 = 1,194,822 : x
  2. Step 2: Convert to fraction form
    771,732/1,194,822 = 1,194,822/x
  3. Step 3: Cross multiply
    771,732x = 1,194,822 × 1,194,822
  4. Step 4: Simplify right side
    771,732x = 1,427,599,611,684
  5. Step 5: Solve for x
    x = 1,427,599,611,684/771,732
  6. Step 6: Final answer
    x = 1,849,864.48

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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.