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Finding the Third Proportional to 1,064,718 and 2,322,120

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Solution

The third proportional to 1,064,718 and 2,322,120 is: 5,064,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,718 : 2,322,120 = 2,322,120 : x
  2. Step 2: Convert to fraction form
    1,064,718/2,322,120 = 2,322,120/x
  3. Step 3: Cross multiply
    1,064,718x = 2,322,120 × 2,322,120
  4. Step 4: Simplify right side
    1,064,718x = 5,392,241,294,400
  5. Step 5: Solve for x
    x = 5,392,241,294,400/1,064,718
  6. Step 6: Final answer
    x = 5,064,478.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.