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Finding the Third Proportional to 617,598 and 1,320,810

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Solution

The third proportional to 617,598 and 1,320,810 is: 2,824,716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,598 : 1,320,810 = 1,320,810 : x
  2. Step 2: Convert to fraction form
    617,598/1,320,810 = 1,320,810/x
  3. Step 3: Cross multiply
    617,598x = 1,320,810 × 1,320,810
  4. Step 4: Simplify right side
    617,598x = 1,744,539,056,100
  5. Step 5: Solve for x
    x = 1,744,539,056,100/617,598
  6. Step 6: Final answer
    x = 2,824,716.17

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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.