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Finding the Third Proportional to 599,358 and 1,275,000

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Solution

The third proportional to 599,358 and 1,275,000 is: 2,712,277.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,358 : 1,275,000 = 1,275,000 : x
  2. Step 2: Convert to fraction form
    599,358/1,275,000 = 1,275,000/x
  3. Step 3: Cross multiply
    599,358x = 1,275,000 × 1,275,000
  4. Step 4: Simplify right side
    599,358x = 1,625,625,000,000
  5. Step 5: Solve for x
    x = 1,625,625,000,000/599,358
  6. Step 6: Final answer
    x = 2,712,277.14

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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.