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Finding the Third Proportional to 1,511,903 and 2,178,430

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Solution

The third proportional to 1,511,903 and 2,178,430 is: 3,138,797.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511,903 : 2,178,430 = 2,178,430 : x
  2. Step 2: Convert to fraction form
    1,511,903/2,178,430 = 2,178,430/x
  3. Step 3: Cross multiply
    1,511,903x = 2,178,430 × 2,178,430
  4. Step 4: Simplify right side
    1,511,903x = 4,745,557,264,900
  5. Step 5: Solve for x
    x = 4,745,557,264,900/1,511,903
  6. Step 6: Final answer
    x = 3,138,797.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.