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Finding the Third Proportional to 623,670 and 1,320,954

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Solution

The third proportional to 623,670 and 1,320,954 is: 2,797,824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,670 : 1,320,954 = 1,320,954 : x
  2. Step 2: Convert to fraction form
    623,670/1,320,954 = 1,320,954/x
  3. Step 3: Cross multiply
    623,670x = 1,320,954 × 1,320,954
  4. Step 4: Simplify right side
    623,670x = 1,744,919,470,116
  5. Step 5: Solve for x
    x = 1,744,919,470,116/623,670
  6. Step 6: Final answer
    x = 2,797,824.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.