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Finding the Third Proportional to 534,748 and 1,189,044

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Solution

The third proportional to 534,748 and 1,189,044 is: 2,643,910.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,748 : 1,189,044 = 1,189,044 : x
  2. Step 2: Convert to fraction form
    534,748/1,189,044 = 1,189,044/x
  3. Step 3: Cross multiply
    534,748x = 1,189,044 × 1,189,044
  4. Step 4: Simplify right side
    534,748x = 1,413,825,633,936
  5. Step 5: Solve for x
    x = 1,413,825,633,936/534,748
  6. Step 6: Final answer
    x = 2,643,910.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.