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Finding the Third Proportional to 766,017 and 1,073,412

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Solution

The third proportional to 766,017 and 1,073,412 is: 1,504,161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,017 : 1,073,412 = 1,073,412 : x
  2. Step 2: Convert to fraction form
    766,017/1,073,412 = 1,073,412/x
  3. Step 3: Cross multiply
    766,017x = 1,073,412 × 1,073,412
  4. Step 4: Simplify right side
    766,017x = 1,152,213,321,744
  5. Step 5: Solve for x
    x = 1,152,213,321,744/766,017
  6. Step 6: Final answer
    x = 1,504,161.55

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.