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Finding the Third Proportional to 900,344 and 1,921,216

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Solution

The third proportional to 900,344 and 1,921,216 is: 4,099,622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,344 : 1,921,216 = 1,921,216 : x
  2. Step 2: Convert to fraction form
    900,344/1,921,216 = 1,921,216/x
  3. Step 3: Cross multiply
    900,344x = 1,921,216 × 1,921,216
  4. Step 4: Simplify right side
    900,344x = 3,691,070,918,656
  5. Step 5: Solve for x
    x = 3,691,070,918,656/900,344
  6. Step 6: Final answer
    x = 4,099,622.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.