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Finding the Third Proportional to 688,176 and 1,481,814

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Solution

The third proportional to 688,176 and 1,481,814 is: 3,190,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,176 : 1,481,814 = 1,481,814 : x
  2. Step 2: Convert to fraction form
    688,176/1,481,814 = 1,481,814/x
  3. Step 3: Cross multiply
    688,176x = 1,481,814 × 1,481,814
  4. Step 4: Simplify right side
    688,176x = 2,195,772,730,596
  5. Step 5: Solve for x
    x = 2,195,772,730,596/688,176
  6. Step 6: Final answer
    x = 3,190,713.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.