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Finding the Third Proportional to 900,348 and 1,921,224

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Solution

The third proportional to 900,348 and 1,921,224 is: 4,099,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,348 : 1,921,224 = 1,921,224 : x
  2. Step 2: Convert to fraction form
    900,348/1,921,224 = 1,921,224/x
  3. Step 3: Cross multiply
    900,348x = 1,921,224 × 1,921,224
  4. Step 4: Simplify right side
    900,348x = 3,691,101,658,176
  5. Step 5: Solve for x
    x = 3,691,101,658,176/900,348
  6. Step 6: Final answer
    x = 4,099,638.87

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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.