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Finding the Third Proportional to 661,942 and 1,022,870

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Solution

The third proportional to 661,942 and 1,022,870 is: 1,580,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,942 : 1,022,870 = 1,022,870 : x
  2. Step 2: Convert to fraction form
    661,942/1,022,870 = 1,022,870/x
  3. Step 3: Cross multiply
    661,942x = 1,022,870 × 1,022,870
  4. Step 4: Simplify right side
    661,942x = 1,046,263,036,900
  5. Step 5: Solve for x
    x = 1,046,263,036,900/661,942
  6. Step 6: Final answer
    x = 1,580,596.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.