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Finding the Third Proportional to 559,467 and 1,221,410.25

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Solution

The third proportional to 559,467 and 1,221,410.25 is: 2,666,543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,467 : 1,221,410.25 = 1,221,410.25 : x
  2. Step 2: Convert to fraction form
    559,467/1,221,410.25 = 1,221,410.25/x
  3. Step 3: Cross multiply
    559,467x = 1,221,410.25 × 1,221,410.25
  4. Step 4: Simplify right side
    559,467x = 1,491,842,998,805.06
  5. Step 5: Solve for x
    x = 1,491,842,998,805.06/559,467
  6. Step 6: Final answer
    x = 2,666,543.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.