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Finding the Third Proportional to 1,868,584 and 4,098,896

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Solution

The third proportional to 1,868,584 and 4,098,896 is: 8,991,272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868,584 : 4,098,896 = 4,098,896 : x
  2. Step 2: Convert to fraction form
    1,868,584/4,098,896 = 4,098,896/x
  3. Step 3: Cross multiply
    1,868,584x = 4,098,896 × 4,098,896
  4. Step 4: Simplify right side
    1,868,584x = 16,800,948,418,816
  5. Step 5: Solve for x
    x = 16,800,948,418,816/1,868,584
  6. Step 6: Final answer
    x = 8,991,272.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.