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Finding the Third Proportional to 378,574 and 833,963

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Solution

The third proportional to 378,574 and 833,963 is: 1,837,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,574 : 833,963 = 833,963 : x
  2. Step 2: Convert to fraction form
    378,574/833,963 = 833,963/x
  3. Step 3: Cross multiply
    378,574x = 833,963 × 833,963
  4. Step 4: Simplify right side
    378,574x = 695,494,285,369
  5. Step 5: Solve for x
    x = 695,494,285,369/378,574
  6. Step 6: Final answer
    x = 1,837,142.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.