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Finding the Third Proportional to 559,298 and 1,207,588

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Solution

The third proportional to 559,298 and 1,207,588 is: 2,607,319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,298 : 1,207,588 = 1,207,588 : x
  2. Step 2: Convert to fraction form
    559,298/1,207,588 = 1,207,588/x
  3. Step 3: Cross multiply
    559,298x = 1,207,588 × 1,207,588
  4. Step 4: Simplify right side
    559,298x = 1,458,268,777,744
  5. Step 5: Solve for x
    x = 1,458,268,777,744/559,298
  6. Step 6: Final answer
    x = 2,607,319.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.