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Finding the Third Proportional to 681,718 and 1,036,740

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Solution

The third proportional to 681,718 and 1,036,740 is: 1,576,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,718 : 1,036,740 = 1,036,740 : x
  2. Step 2: Convert to fraction form
    681,718/1,036,740 = 1,036,740/x
  3. Step 3: Cross multiply
    681,718x = 1,036,740 × 1,036,740
  4. Step 4: Simplify right side
    681,718x = 1,074,829,827,600
  5. Step 5: Solve for x
    x = 1,074,829,827,600/681,718
  6. Step 6: Final answer
    x = 1,576,648.74

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.