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Finding the Third Proportional to 1,762,598 and 2,378,163

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Solution

The third proportional to 1,762,598 and 2,378,163 is: 3,208,706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762,598 : 2,378,163 = 2,378,163 : x
  2. Step 2: Convert to fraction form
    1,762,598/2,378,163 = 2,378,163/x
  3. Step 3: Cross multiply
    1,762,598x = 2,378,163 × 2,378,163
  4. Step 4: Simplify right side
    1,762,598x = 5,655,659,254,569
  5. Step 5: Solve for x
    x = 5,655,659,254,569/1,762,598
  6. Step 6: Final answer
    x = 3,208,706.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.