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Finding the Third Proportional to 1,664,584 and 3,591,392

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Solution

The third proportional to 1,664,584 and 3,591,392 is: 7,748,540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664,584 : 3,591,392 = 3,591,392 : x
  2. Step 2: Convert to fraction form
    1,664,584/3,591,392 = 3,591,392/x
  3. Step 3: Cross multiply
    1,664,584x = 3,591,392 × 3,591,392
  4. Step 4: Simplify right side
    1,664,584x = 12,898,096,497,664
  5. Step 5: Solve for x
    x = 12,898,096,497,664/1,664,584
  6. Step 6: Final answer
    x = 7,748,540.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.