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Finding the Third Proportional to 779,922 and 1,687,780

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Solution

The third proportional to 779,922 and 1,687,780 is: 3,652,418.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,922 : 1,687,780 = 1,687,780 : x
  2. Step 2: Convert to fraction form
    779,922/1,687,780 = 1,687,780/x
  3. Step 3: Cross multiply
    779,922x = 1,687,780 × 1,687,780
  4. Step 4: Simplify right side
    779,922x = 2,848,601,328,400
  5. Step 5: Solve for x
    x = 2,848,601,328,400/779,922
  6. Step 6: Final answer
    x = 3,652,418.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.