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Finding the Third Proportional to 774,390 and 1,660,831

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Solution

The third proportional to 774,390 and 1,660,831 is: 3,561,977.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,390 : 1,660,831 = 1,660,831 : x
  2. Step 2: Convert to fraction form
    774,390/1,660,831 = 1,660,831/x
  3. Step 3: Cross multiply
    774,390x = 1,660,831 × 1,660,831
  4. Step 4: Simplify right side
    774,390x = 2,758,359,610,561
  5. Step 5: Solve for x
    x = 2,758,359,610,561/774,390
  6. Step 6: Final answer
    x = 3,561,977.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.