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Finding the Third Proportional to 906,903 and 1,977,102

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Solution

The third proportional to 906,903 and 1,977,102 is: 4,310,198.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,903 : 1,977,102 = 1,977,102 : x
  2. Step 2: Convert to fraction form
    906,903/1,977,102 = 1,977,102/x
  3. Step 3: Cross multiply
    906,903x = 1,977,102 × 1,977,102
  4. Step 4: Simplify right side
    906,903x = 3,908,932,318,404
  5. Step 5: Solve for x
    x = 3,908,932,318,404/906,903
  6. Step 6: Final answer
    x = 4,310,198.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.