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Finding the Third Proportional to 611,481 and 926,456

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Solution

The third proportional to 611,481 and 926,456 is: 1,403,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,481 : 926,456 = 926,456 : x
  2. Step 2: Convert to fraction form
    611,481/926,456 = 926,456/x
  3. Step 3: Cross multiply
    611,481x = 926,456 × 926,456
  4. Step 4: Simplify right side
    611,481x = 858,320,719,936
  5. Step 5: Solve for x
    x = 858,320,719,936/611,481
  6. Step 6: Final answer
    x = 1,403,675.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.