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Finding the Third Proportional to 491,686 and 756,833

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Solution

The third proportional to 491,686 and 756,833 is: 1,164,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,686 : 756,833 = 756,833 : x
  2. Step 2: Convert to fraction form
    491,686/756,833 = 756,833/x
  3. Step 3: Cross multiply
    491,686x = 756,833 × 756,833
  4. Step 4: Simplify right side
    491,686x = 572,796,189,889
  5. Step 5: Solve for x
    x = 572,796,189,889/491,686
  6. Step 6: Final answer
    x = 1,164,963.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.