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Finding the Third Proportional to 804,540 and 1,762,717

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Solution

The third proportional to 804,540 and 1,762,717 is: 3,862,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,540 : 1,762,717 = 1,762,717 : x
  2. Step 2: Convert to fraction form
    804,540/1,762,717 = 1,762,717/x
  3. Step 3: Cross multiply
    804,540x = 1,762,717 × 1,762,717
  4. Step 4: Simplify right side
    804,540x = 3,107,171,222,089
  5. Step 5: Solve for x
    x = 3,107,171,222,089/804,540
  6. Step 6: Final answer
    x = 3,862,046.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.