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Finding the Third Proportional to 413,617 and 911,036

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Solution

The third proportional to 413,617 and 911,036 is: 2,006,654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,617 : 911,036 = 911,036 : x
  2. Step 2: Convert to fraction form
    413,617/911,036 = 911,036/x
  3. Step 3: Cross multiply
    413,617x = 911,036 × 911,036
  4. Step 4: Simplify right side
    413,617x = 829,986,593,296
  5. Step 5: Solve for x
    x = 829,986,593,296/413,617
  6. Step 6: Final answer
    x = 2,006,654.93

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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.