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Finding the Third Proportional to 2,305,207.50 and 3,465,252

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Solution

The third proportional to 2,305,207.50 and 3,465,252 is: 5,209,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,207.50 : 3,465,252 = 3,465,252 : x
  2. Step 2: Convert to fraction form
    2,305,207.50/3,465,252 = 3,465,252/x
  3. Step 3: Cross multiply
    2,305,207.50x = 3,465,252 × 3,465,252
  4. Step 4: Simplify right side
    2,305,207.50x = 12,007,971,423,504
  5. Step 5: Solve for x
    x = 12,007,971,423,504/2,305,207.50
  6. Step 6: Final answer
    x = 5,209,063.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.