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Finding the Third Proportional to 559,710 and 1,207,872

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Solution

The third proportional to 559,710 and 1,207,872 is: 2,606,626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,710 : 1,207,872 = 1,207,872 : x
  2. Step 2: Convert to fraction form
    559,710/1,207,872 = 1,207,872/x
  3. Step 3: Cross multiply
    559,710x = 1,207,872 × 1,207,872
  4. Step 4: Simplify right side
    559,710x = 1,458,954,768,384
  5. Step 5: Solve for x
    x = 1,458,954,768,384/559,710
  6. Step 6: Final answer
    x = 2,606,626.23

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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.