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Finding the Third Proportional to 1,211,009 and 2,854,686

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Solution

The third proportional to 1,211,009 and 2,854,686 is: 6,729,291.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,009 : 2,854,686 = 2,854,686 : x
  2. Step 2: Convert to fraction form
    1,211,009/2,854,686 = 2,854,686/x
  3. Step 3: Cross multiply
    1,211,009x = 2,854,686 × 2,854,686
  4. Step 4: Simplify right side
    1,211,009x = 8,149,232,158,596
  5. Step 5: Solve for x
    x = 8,149,232,158,596/1,211,009
  6. Step 6: Final answer
    x = 6,729,291.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.