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Finding the Third Proportional to 915,903 and 1,984,266

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Solution

The third proportional to 915,903 and 1,984,266 is: 4,298,830.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,903 : 1,984,266 = 1,984,266 : x
  2. Step 2: Convert to fraction form
    915,903/1,984,266 = 1,984,266/x
  3. Step 3: Cross multiply
    915,903x = 1,984,266 × 1,984,266
  4. Step 4: Simplify right side
    915,903x = 3,937,311,558,756
  5. Step 5: Solve for x
    x = 3,937,311,558,756/915,903
  6. Step 6: Final answer
    x = 4,298,830.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.