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Finding the Third Proportional to 565,926 and 1,236,828

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Solution

The third proportional to 565,926 and 1,236,828 is: 2,703,080.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,926 : 1,236,828 = 1,236,828 : x
  2. Step 2: Convert to fraction form
    565,926/1,236,828 = 1,236,828/x
  3. Step 3: Cross multiply
    565,926x = 1,236,828 × 1,236,828
  4. Step 4: Simplify right side
    565,926x = 1,529,743,501,584
  5. Step 5: Solve for x
    x = 1,529,743,501,584/565,926
  6. Step 6: Final answer
    x = 2,703,080.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.