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Finding the Third Proportional to 501,663 and 1,071,366

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Solution

The third proportional to 501,663 and 1,071,366 is: 2,288,040.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,663 : 1,071,366 = 1,071,366 : x
  2. Step 2: Convert to fraction form
    501,663/1,071,366 = 1,071,366/x
  3. Step 3: Cross multiply
    501,663x = 1,071,366 × 1,071,366
  4. Step 4: Simplify right side
    501,663x = 1,147,825,105,956
  5. Step 5: Solve for x
    x = 1,147,825,105,956/501,663
  6. Step 6: Final answer
    x = 2,288,040.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.