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Finding the Third Proportional to 774,096 and 1,618,773.94

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Solution

The third proportional to 774,096 and 1,618,773.94 is: 3,385,147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,096 : 1,618,773.94 = 1,618,773.94 : x
  2. Step 2: Convert to fraction form
    774,096/1,618,773.94 = 1,618,773.94/x
  3. Step 3: Cross multiply
    774,096x = 1,618,773.94 × 1,618,773.94
  4. Step 4: Simplify right side
    774,096x = 2,620,429,060,729.25
  5. Step 5: Solve for x
    x = 2,620,429,060,729.25/774,096
  6. Step 6: Final answer
    x = 3,385,147.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.