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Finding the Third Proportional to 2,078,320.50 and 3,309,570

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Solution

The third proportional to 2,078,320.50 and 3,309,570 is: 5,270,242.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078,320.50 : 3,309,570 = 3,309,570 : x
  2. Step 2: Convert to fraction form
    2,078,320.50/3,309,570 = 3,309,570/x
  3. Step 3: Cross multiply
    2,078,320.50x = 3,309,570 × 3,309,570
  4. Step 4: Simplify right side
    2,078,320.50x = 10,953,253,584,900
  5. Step 5: Solve for x
    x = 10,953,253,584,900/2,078,320.50
  6. Step 6: Final answer
    x = 5,270,242.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.