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Finding the Third Proportional to 774,398 and 1,660,846

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Solution

The third proportional to 774,398 and 1,660,846 is: 3,562,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,398 : 1,660,846 = 1,660,846 : x
  2. Step 2: Convert to fraction form
    774,398/1,660,846 = 1,660,846/x
  3. Step 3: Cross multiply
    774,398x = 1,660,846 × 1,660,846
  4. Step 4: Simplify right side
    774,398x = 2,758,409,435,716
  5. Step 5: Solve for x
    x = 2,758,409,435,716/774,398
  6. Step 6: Final answer
    x = 3,562,004.86

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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.