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Finding the Third Proportional to 772,949 and 1,016,424

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Solution

The third proportional to 772,949 and 1,016,424 is: 1,336,592.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,949 : 1,016,424 = 1,016,424 : x
  2. Step 2: Convert to fraction form
    772,949/1,016,424 = 1,016,424/x
  3. Step 3: Cross multiply
    772,949x = 1,016,424 × 1,016,424
  4. Step 4: Simplify right side
    772,949x = 1,033,117,747,776
  5. Step 5: Solve for x
    x = 1,033,117,747,776/772,949
  6. Step 6: Final answer
    x = 1,336,592.39

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.