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Finding the Third Proportional to 1,835,802 and 2,580,642

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Solution

The third proportional to 1,835,802 and 2,580,642 is: 3,627,685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835,802 : 2,580,642 = 2,580,642 : x
  2. Step 2: Convert to fraction form
    1,835,802/2,580,642 = 2,580,642/x
  3. Step 3: Cross multiply
    1,835,802x = 2,580,642 × 2,580,642
  4. Step 4: Simplify right side
    1,835,802x = 6,659,713,132,164
  5. Step 5: Solve for x
    x = 6,659,713,132,164/1,835,802
  6. Step 6: Final answer
    x = 3,627,685.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.