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Finding the Third Proportional to 611,762 and 1,321,924

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Solution

The third proportional to 611,762 and 1,321,924 is: 2,856,475.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,762 : 1,321,924 = 1,321,924 : x
  2. Step 2: Convert to fraction form
    611,762/1,321,924 = 1,321,924/x
  3. Step 3: Cross multiply
    611,762x = 1,321,924 × 1,321,924
  4. Step 4: Simplify right side
    611,762x = 1,747,483,061,776
  5. Step 5: Solve for x
    x = 1,747,483,061,776/611,762
  6. Step 6: Final answer
    x = 2,856,475.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.