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Finding the Third Proportional to 728,250 and 1,485,417

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Solution

The third proportional to 728,250 and 1,485,417 is: 3,029,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,250 : 1,485,417 = 1,485,417 : x
  2. Step 2: Convert to fraction form
    728,250/1,485,417 = 1,485,417/x
  3. Step 3: Cross multiply
    728,250x = 1,485,417 × 1,485,417
  4. Step 4: Simplify right side
    728,250x = 2,206,463,663,889
  5. Step 5: Solve for x
    x = 2,206,463,663,889/728,250
  6. Step 6: Final answer
    x = 3,029,816.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.