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Finding the Third Proportional to 766,304 and 1,160,094

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Solution

The third proportional to 766,304 and 1,160,094 is: 1,756,245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,304 : 1,160,094 = 1,160,094 : x
  2. Step 2: Convert to fraction form
    766,304/1,160,094 = 1,160,094/x
  3. Step 3: Cross multiply
    766,304x = 1,160,094 × 1,160,094
  4. Step 4: Simplify right side
    766,304x = 1,345,818,088,836
  5. Step 5: Solve for x
    x = 1,345,818,088,836/766,304
  6. Step 6: Final answer
    x = 1,756,245.68

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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.