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Finding the Third Proportional to 1,619,664 and 3,749,624

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Solution

The third proportional to 1,619,664 and 3,749,624 is: 8,680,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619,664 : 3,749,624 = 3,749,624 : x
  2. Step 2: Convert to fraction form
    1,619,664/3,749,624 = 3,749,624/x
  3. Step 3: Cross multiply
    1,619,664x = 3,749,624 × 3,749,624
  4. Step 4: Simplify right side
    1,619,664x = 14,059,680,141,376
  5. Step 5: Solve for x
    x = 14,059,680,141,376/1,619,664
  6. Step 6: Final answer
    x = 8,680,615.33

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.