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Finding the Third Proportional to 772,879 and 1,683,044

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Solution

The third proportional to 772,879 and 1,683,044 is: 3,665,046.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,879 : 1,683,044 = 1,683,044 : x
  2. Step 2: Convert to fraction form
    772,879/1,683,044 = 1,683,044/x
  3. Step 3: Cross multiply
    772,879x = 1,683,044 × 1,683,044
  4. Step 4: Simplify right side
    772,879x = 2,832,637,105,936
  5. Step 5: Solve for x
    x = 2,832,637,105,936/772,879
  6. Step 6: Final answer
    x = 3,665,046.02

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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.