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Finding the Third Proportional to 728,835 and 1,504,344

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Solution

The third proportional to 728,835 and 1,504,344 is: 3,105,024.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,835 : 1,504,344 = 1,504,344 : x
  2. Step 2: Convert to fraction form
    728,835/1,504,344 = 1,504,344/x
  3. Step 3: Cross multiply
    728,835x = 1,504,344 × 1,504,344
  4. Step 4: Simplify right side
    728,835x = 2,263,050,870,336
  5. Step 5: Solve for x
    x = 2,263,050,870,336/728,835
  6. Step 6: Final answer
    x = 3,105,024.96

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.