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Finding the Third Proportional to 1,737,018 and 3,827,421

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Solution

The third proportional to 1,737,018 and 3,827,421 is: 8,433,505.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737,018 : 3,827,421 = 3,827,421 : x
  2. Step 2: Convert to fraction form
    1,737,018/3,827,421 = 3,827,421/x
  3. Step 3: Cross multiply
    1,737,018x = 3,827,421 × 3,827,421
  4. Step 4: Simplify right side
    1,737,018x = 14,649,151,511,241
  5. Step 5: Solve for x
    x = 14,649,151,511,241/1,737,018
  6. Step 6: Final answer
    x = 8,433,505.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.