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Finding the Third Proportional to 1,658,584 and 2,540,298

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Solution

The third proportional to 1,658,584 and 2,540,298 is: 3,890,736.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658,584 : 2,540,298 = 2,540,298 : x
  2. Step 2: Convert to fraction form
    1,658,584/2,540,298 = 2,540,298/x
  3. Step 3: Cross multiply
    1,658,584x = 2,540,298 × 2,540,298
  4. Step 4: Simplify right side
    1,658,584x = 6,453,113,928,804
  5. Step 5: Solve for x
    x = 6,453,113,928,804/1,658,584
  6. Step 6: Final answer
    x = 3,890,736.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.