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Finding the Third Proportional to 617,592 and 1,320,798

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Solution

The third proportional to 617,592 and 1,320,798 is: 2,824,692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,592 : 1,320,798 = 1,320,798 : x
  2. Step 2: Convert to fraction form
    617,592/1,320,798 = 1,320,798/x
  3. Step 3: Cross multiply
    617,592x = 1,320,798 × 1,320,798
  4. Step 4: Simplify right side
    617,592x = 1,744,507,356,804
  5. Step 5: Solve for x
    x = 1,744,507,356,804/617,592
  6. Step 6: Final answer
    x = 2,824,692.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.