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Finding the Third Proportional to 617,646 and 922,832

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Solution

The third proportional to 617,646 and 922,832 is: 1,378,813.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,646 : 922,832 = 922,832 : x
  2. Step 2: Convert to fraction form
    617,646/922,832 = 922,832/x
  3. Step 3: Cross multiply
    617,646x = 922,832 × 922,832
  4. Step 4: Simplify right side
    617,646x = 851,618,900,224
  5. Step 5: Solve for x
    x = 851,618,900,224/617,646
  6. Step 6: Final answer
    x = 1,378,813.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.