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Finding the Third Proportional to 1,426,866 and 2,971,828

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Solution

The third proportional to 1,426,866 and 2,971,828 is: 6,189,622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426,866 : 2,971,828 = 2,971,828 : x
  2. Step 2: Convert to fraction form
    1,426,866/2,971,828 = 2,971,828/x
  3. Step 3: Cross multiply
    1,426,866x = 2,971,828 × 2,971,828
  4. Step 4: Simplify right side
    1,426,866x = 8,831,761,661,584
  5. Step 5: Solve for x
    x = 8,831,761,661,584/1,426,866
  6. Step 6: Final answer
    x = 6,189,622.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.