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Finding the Third Proportional to 774,098 and 1,618,777.50

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Solution

The third proportional to 774,098 and 1,618,777.50 is: 3,385,153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,098 : 1,618,777.50 = 1,618,777.50 : x
  2. Step 2: Convert to fraction form
    774,098/1,618,777.50 = 1,618,777.50/x
  3. Step 3: Cross multiply
    774,098x = 1,618,777.50 × 1,618,777.50
  4. Step 4: Simplify right side
    774,098x = 2,620,440,594,506.25
  5. Step 5: Solve for x
    x = 2,620,440,594,506.25/774,098
  6. Step 6: Final answer
    x = 3,385,153.55

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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.