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Finding the Third Proportional to 1,733,628 and 2,582,081

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Solution

The third proportional to 1,733,628 and 2,582,081 is: 3,845,774.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733,628 : 2,582,081 = 2,582,081 : x
  2. Step 2: Convert to fraction form
    1,733,628/2,582,081 = 2,582,081/x
  3. Step 3: Cross multiply
    1,733,628x = 2,582,081 × 2,582,081
  4. Step 4: Simplify right side
    1,733,628x = 6,667,142,290,561
  5. Step 5: Solve for x
    x = 6,667,142,290,561/1,733,628
  6. Step 6: Final answer
    x = 3,845,774.46

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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.