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Finding the Third Proportional to 284,849 and 607,822

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Solution

The third proportional to 284,849 and 607,822 is: 1,296,994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,849 : 607,822 = 607,822 : x
  2. Step 2: Convert to fraction form
    284,849/607,822 = 607,822/x
  3. Step 3: Cross multiply
    284,849x = 607,822 × 607,822
  4. Step 4: Simplify right side
    284,849x = 369,447,583,684
  5. Step 5: Solve for x
    x = 369,447,583,684/284,849
  6. Step 6: Final answer
    x = 1,296,994.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.