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Finding the Third Proportional to 413,049 and 903,858

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Solution

The third proportional to 413,049 and 903,858 is: 1,977,874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,049 : 903,858 = 903,858 : x
  2. Step 2: Convert to fraction form
    413,049/903,858 = 903,858/x
  3. Step 3: Cross multiply
    413,049x = 903,858 × 903,858
  4. Step 4: Simplify right side
    413,049x = 816,959,284,164
  5. Step 5: Solve for x
    x = 816,959,284,164/413,049
  6. Step 6: Final answer
    x = 1,977,874.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.