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Finding the Third Proportional to 559,743 and 1,207,902

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Solution

The third proportional to 559,743 and 1,207,902 is: 2,606,602.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,743 : 1,207,902 = 1,207,902 : x
  2. Step 2: Convert to fraction form
    559,743/1,207,902 = 1,207,902/x
  3. Step 3: Cross multiply
    559,743x = 1,207,902 × 1,207,902
  4. Step 4: Simplify right side
    559,743x = 1,459,027,241,604
  5. Step 5: Solve for x
    x = 1,459,027,241,604/559,743
  6. Step 6: Final answer
    x = 2,606,602.03

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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.