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Finding the Third Proportional to 804,591 and 1,726,011

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Solution

The third proportional to 804,591 and 1,726,011 is: 3,702,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,591 : 1,726,011 = 1,726,011 : x
  2. Step 2: Convert to fraction form
    804,591/1,726,011 = 1,726,011/x
  3. Step 3: Cross multiply
    804,591x = 1,726,011 × 1,726,011
  4. Step 4: Simplify right side
    804,591x = 2,979,113,972,121
  5. Step 5: Solve for x
    x = 2,979,113,972,121/804,591
  6. Step 6: Final answer
    x = 3,702,643.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.