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Finding the Third Proportional to 904,396 and 1,883,216

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Solution

The third proportional to 904,396 and 1,883,216 is: 3,921,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,396 : 1,883,216 = 1,883,216 : x
  2. Step 2: Convert to fraction form
    904,396/1,883,216 = 1,883,216/x
  3. Step 3: Cross multiply
    904,396x = 1,883,216 × 1,883,216
  4. Step 4: Simplify right side
    904,396x = 3,546,502,502,656
  5. Step 5: Solve for x
    x = 3,546,502,502,656/904,396
  6. Step 6: Final answer
    x = 3,921,404.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.