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Finding the Third Proportional to 2,364,471 and 3,668,692.50

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Solution

The third proportional to 2,364,471 and 3,668,692.50 is: 5,692,311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364,471 : 3,668,692.50 = 3,668,692.50 : x
  2. Step 2: Convert to fraction form
    2,364,471/3,668,692.50 = 3,668,692.50/x
  3. Step 3: Cross multiply
    2,364,471x = 3,668,692.50 × 3,668,692.50
  4. Step 4: Simplify right side
    2,364,471x = 13,459,304,659,556.25
  5. Step 5: Solve for x
    x = 13,459,304,659,556.25/2,364,471
  6. Step 6: Final answer
    x = 5,692,311.16

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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.