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Finding the Third Proportional to 688,192 and 1,619,367

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Solution

The third proportional to 688,192 and 1,619,367 is: 3,810,491.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,192 : 1,619,367 = 1,619,367 : x
  2. Step 2: Convert to fraction form
    688,192/1,619,367 = 1,619,367/x
  3. Step 3: Cross multiply
    688,192x = 1,619,367 × 1,619,367
  4. Step 4: Simplify right side
    688,192x = 2,622,349,480,689
  5. Step 5: Solve for x
    x = 2,622,349,480,689/688,192
  6. Step 6: Final answer
    x = 3,810,491.08

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.