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Finding the Third Proportional to 820,712 and 1,260,714

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Solution

The third proportional to 820,712 and 1,260,714 is: 1,936,610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,712 : 1,260,714 = 1,260,714 : x
  2. Step 2: Convert to fraction form
    820,712/1,260,714 = 1,260,714/x
  3. Step 3: Cross multiply
    820,712x = 1,260,714 × 1,260,714
  4. Step 4: Simplify right side
    820,712x = 1,589,399,789,796
  5. Step 5: Solve for x
    x = 1,589,399,789,796/820,712
  6. Step 6: Final answer
    x = 1,936,610.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.