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Finding the Third Proportional to 599,362 and 1,275,008

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Solution

The third proportional to 599,362 and 1,275,008 is: 2,712,293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,362 : 1,275,008 = 1,275,008 : x
  2. Step 2: Convert to fraction form
    599,362/1,275,008 = 1,275,008/x
  3. Step 3: Cross multiply
    599,362x = 1,275,008 × 1,275,008
  4. Step 4: Simplify right side
    599,362x = 1,625,645,400,064
  5. Step 5: Solve for x
    x = 1,625,645,400,064/599,362
  6. Step 6: Final answer
    x = 2,712,293.07

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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.