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Finding the Third Proportional to 1,820,674.50 and 3,925,320

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Solution

The third proportional to 1,820,674.50 and 3,925,320 is: 8,462,873.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820,674.50 : 3,925,320 = 3,925,320 : x
  2. Step 2: Convert to fraction form
    1,820,674.50/3,925,320 = 3,925,320/x
  3. Step 3: Cross multiply
    1,820,674.50x = 3,925,320 × 3,925,320
  4. Step 4: Simplify right side
    1,820,674.50x = 15,408,137,102,400
  5. Step 5: Solve for x
    x = 15,408,137,102,400/1,820,674.50
  6. Step 6: Final answer
    x = 8,462,873.02

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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.