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Finding the Third Proportional to 762,366 and 1,623,336

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Solution

The third proportional to 762,366 and 1,623,336 is: 3,456,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,366 : 1,623,336 = 1,623,336 : x
  2. Step 2: Convert to fraction form
    762,366/1,623,336 = 1,623,336/x
  3. Step 3: Cross multiply
    762,366x = 1,623,336 × 1,623,336
  4. Step 4: Simplify right side
    762,366x = 2,635,219,768,896
  5. Step 5: Solve for x
    x = 2,635,219,768,896/762,366
  6. Step 6: Final answer
    x = 3,456,633.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.