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Finding the Third Proportional to 1,894,104 and 2,897,532

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Solution

The third proportional to 1,894,104 and 2,897,532 is: 4,432,539.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894,104 : 2,897,532 = 2,897,532 : x
  2. Step 2: Convert to fraction form
    1,894,104/2,897,532 = 2,897,532/x
  3. Step 3: Cross multiply
    1,894,104x = 2,897,532 × 2,897,532
  4. Step 4: Simplify right side
    1,894,104x = 8,395,691,691,024
  5. Step 5: Solve for x
    x = 8,395,691,691,024/1,894,104
  6. Step 6: Final answer
    x = 4,432,539.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.