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Finding the Third Proportional to 559,801 and 1,199,467

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Solution

The third proportional to 559,801 and 1,199,467 is: 2,570,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,801 : 1,199,467 = 1,199,467 : x
  2. Step 2: Convert to fraction form
    559,801/1,199,467 = 1,199,467/x
  3. Step 3: Cross multiply
    559,801x = 1,199,467 × 1,199,467
  4. Step 4: Simplify right side
    559,801x = 1,438,721,084,089
  5. Step 5: Solve for x
    x = 1,438,721,084,089/559,801
  6. Step 6: Final answer
    x = 2,570,058.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.