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Finding the Third Proportional to 2,474,109 and 3,830,881.50

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Solution

The third proportional to 2,474,109 and 3,830,881.50 is: 5,931,692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474,109 : 3,830,881.50 = 3,830,881.50 : x
  2. Step 2: Convert to fraction form
    2,474,109/3,830,881.50 = 3,830,881.50/x
  3. Step 3: Cross multiply
    2,474,109x = 3,830,881.50 × 3,830,881.50
  4. Step 4: Simplify right side
    2,474,109x = 14,675,653,067,042.25
  5. Step 5: Solve for x
    x = 14,675,653,067,042.25/2,474,109
  6. Step 6: Final answer
    x = 5,931,692.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.