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Finding the Third Proportional to 1,939,827 and 4,215,414

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Solution

The third proportional to 1,939,827 and 4,215,414 is: 9,160,463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939,827 : 4,215,414 = 4,215,414 : x
  2. Step 2: Convert to fraction form
    1,939,827/4,215,414 = 4,215,414/x
  3. Step 3: Cross multiply
    1,939,827x = 4,215,414 × 4,215,414
  4. Step 4: Simplify right side
    1,939,827x = 17,769,715,191,396
  5. Step 5: Solve for x
    x = 17,769,715,191,396/1,939,827
  6. Step 6: Final answer
    x = 9,160,463.89

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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.