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Finding the Third Proportional to 1,746,852 and 3,819,564

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Solution

The third proportional to 1,746,852 and 3,819,564 is: 8,351,634.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,852 : 3,819,564 = 3,819,564 : x
  2. Step 2: Convert to fraction form
    1,746,852/3,819,564 = 3,819,564/x
  3. Step 3: Cross multiply
    1,746,852x = 3,819,564 × 3,819,564
  4. Step 4: Simplify right side
    1,746,852x = 14,589,069,150,096
  5. Step 5: Solve for x
    x = 14,589,069,150,096/1,746,852
  6. Step 6: Final answer
    x = 8,351,634.34

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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.