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Finding the Third Proportional to 1,530,900 and 2,191,374

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Solution

The third proportional to 1,530,900 and 2,191,374 is: 3,136,795.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530,900 : 2,191,374 = 2,191,374 : x
  2. Step 2: Convert to fraction form
    1,530,900/2,191,374 = 2,191,374/x
  3. Step 3: Cross multiply
    1,530,900x = 2,191,374 × 2,191,374
  4. Step 4: Simplify right side
    1,530,900x = 4,802,120,007,876
  5. Step 5: Solve for x
    x = 4,802,120,007,876/1,530,900
  6. Step 6: Final answer
    x = 3,136,795.35

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.