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Finding the Third Proportional to 565,009 and 1,219,644

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Solution

The third proportional to 565,009 and 1,219,644 is: 2,632,757.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,009 : 1,219,644 = 1,219,644 : x
  2. Step 2: Convert to fraction form
    565,009/1,219,644 = 1,219,644/x
  3. Step 3: Cross multiply
    565,009x = 1,219,644 × 1,219,644
  4. Step 4: Simplify right side
    565,009x = 1,487,531,486,736
  5. Step 5: Solve for x
    x = 1,487,531,486,736/565,009
  6. Step 6: Final answer
    x = 2,632,757.15

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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.