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Finding the Third Proportional to 766,760 and 1,160,886

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Solution

The third proportional to 766,760 and 1,160,886 is: 1,757,598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,760 : 1,160,886 = 1,160,886 : x
  2. Step 2: Convert to fraction form
    766,760/1,160,886 = 1,160,886/x
  3. Step 3: Cross multiply
    766,760x = 1,160,886 × 1,160,886
  4. Step 4: Simplify right side
    766,760x = 1,347,656,304,996
  5. Step 5: Solve for x
    x = 1,347,656,304,996/766,760
  6. Step 6: Final answer
    x = 1,757,598.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.