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Finding the Third Proportional to 599,264 and 1,287,464

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Solution

The third proportional to 599,264 and 1,287,464 is: 2,765,998.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,264 : 1,287,464 = 1,287,464 : x
  2. Step 2: Convert to fraction form
    599,264/1,287,464 = 1,287,464/x
  3. Step 3: Cross multiply
    599,264x = 1,287,464 × 1,287,464
  4. Step 4: Simplify right side
    599,264x = 1,657,563,551,296
  5. Step 5: Solve for x
    x = 1,657,563,551,296/599,264
  6. Step 6: Final answer
    x = 2,765,998.88

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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.