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Finding the Third Proportional to 728,944 and 1,577,696

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Solution

The third proportional to 728,944 and 1,577,696 is: 3,414,699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,944 : 1,577,696 = 1,577,696 : x
  2. Step 2: Convert to fraction form
    728,944/1,577,696 = 1,577,696/x
  3. Step 3: Cross multiply
    728,944x = 1,577,696 × 1,577,696
  4. Step 4: Simplify right side
    728,944x = 2,489,124,668,416
  5. Step 5: Solve for x
    x = 2,489,124,668,416/728,944
  6. Step 6: Final answer
    x = 3,414,699.44

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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.