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Finding the Third Proportional to 565,696 and 1,227,822

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Solution

The third proportional to 565,696 and 1,227,822 is: 2,664,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,696 : 1,227,822 = 1,227,822 : x
  2. Step 2: Convert to fraction form
    565,696/1,227,822 = 1,227,822/x
  3. Step 3: Cross multiply
    565,696x = 1,227,822 × 1,227,822
  4. Step 4: Simplify right side
    565,696x = 1,507,546,863,684
  5. Step 5: Solve for x
    x = 1,507,546,863,684/565,696
  6. Step 6: Final answer
    x = 2,664,941.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.