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Finding the Third Proportional to 804,589 and 1,736,791

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Solution

The third proportional to 804,589 and 1,736,791 is: 3,749,048.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,589 : 1,736,791 = 1,736,791 : x
  2. Step 2: Convert to fraction form
    804,589/1,736,791 = 1,736,791/x
  3. Step 3: Cross multiply
    804,589x = 1,736,791 × 1,736,791
  4. Step 4: Simplify right side
    804,589x = 3,016,442,977,681
  5. Step 5: Solve for x
    x = 3,016,442,977,681/804,589
  6. Step 6: Final answer
    x = 3,749,048.24

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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.