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Finding the Third Proportional to 500,159 and 1,092,163

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Solution

The third proportional to 500,159 and 1,092,163 is: 2,384,881.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,159 : 1,092,163 = 1,092,163 : x
  2. Step 2: Convert to fraction form
    500,159/1,092,163 = 1,092,163/x
  3. Step 3: Cross multiply
    500,159x = 1,092,163 × 1,092,163
  4. Step 4: Simplify right side
    500,159x = 1,192,820,018,569
  5. Step 5: Solve for x
    x = 1,192,820,018,569/500,159
  6. Step 6: Final answer
    x = 2,384,881.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.