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Finding the Third Proportional to 413,042 and 903,844

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Solution

The third proportional to 413,042 and 903,844 is: 1,977,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,042 : 903,844 = 903,844 : x
  2. Step 2: Convert to fraction form
    413,042/903,844 = 903,844/x
  3. Step 3: Cross multiply
    413,042x = 903,844 × 903,844
  4. Step 4: Simplify right side
    413,042x = 816,933,976,336
  5. Step 5: Solve for x
    x = 816,933,976,336/413,042
  6. Step 6: Final answer
    x = 1,977,847.23

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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.