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Finding the Third Proportional to 400,572 and 869,616

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Solution

The third proportional to 400,572 and 869,616 is: 1,887,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,572 : 869,616 = 869,616 : x
  2. Step 2: Convert to fraction form
    400,572/869,616 = 869,616/x
  3. Step 3: Cross multiply
    400,572x = 869,616 × 869,616
  4. Step 4: Simplify right side
    400,572x = 756,231,987,456
  5. Step 5: Solve for x
    x = 756,231,987,456/400,572
  6. Step 6: Final answer
    x = 1,887,880.30

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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.