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Finding the Third Proportional to 540,694 and 1,276,359

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Solution

The third proportional to 540,694 and 1,276,359 is: 3,012,965.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,694 : 1,276,359 = 1,276,359 : x
  2. Step 2: Convert to fraction form
    540,694/1,276,359 = 1,276,359/x
  3. Step 3: Cross multiply
    540,694x = 1,276,359 × 1,276,359
  4. Step 4: Simplify right side
    540,694x = 1,629,092,296,881
  5. Step 5: Solve for x
    x = 1,629,092,296,881/540,694
  6. Step 6: Final answer
    x = 3,012,965.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.