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Finding the Third Proportional to 772,881 and 1,683,048

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Solution

The third proportional to 772,881 and 1,683,048 is: 3,665,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,881 : 1,683,048 = 1,683,048 : x
  2. Step 2: Convert to fraction form
    772,881/1,683,048 = 1,683,048/x
  3. Step 3: Cross multiply
    772,881x = 1,683,048 × 1,683,048
  4. Step 4: Simplify right side
    772,881x = 2,832,650,570,304
  5. Step 5: Solve for x
    x = 2,832,650,570,304/772,881
  6. Step 6: Final answer
    x = 3,665,053.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.