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Finding the Third Proportional to 2,105,338.50 and 3,197,409

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Solution

The third proportional to 2,105,338.50 and 3,197,409 is: 4,855,952.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,338.50 : 3,197,409 = 3,197,409 : x
  2. Step 2: Convert to fraction form
    2,105,338.50/3,197,409 = 3,197,409/x
  3. Step 3: Cross multiply
    2,105,338.50x = 3,197,409 × 3,197,409
  4. Step 4: Simplify right side
    2,105,338.50x = 10,223,424,313,281
  5. Step 5: Solve for x
    x = 10,223,424,313,281/2,105,338.50
  6. Step 6: Final answer
    x = 4,855,952.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.