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Finding the Third Proportional to 2,178,445.50 and 3,197,682

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Solution

The third proportional to 2,178,445.50 and 3,197,682 is: 4,693,792.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178,445.50 : 3,197,682 = 3,197,682 : x
  2. Step 2: Convert to fraction form
    2,178,445.50/3,197,682 = 3,197,682/x
  3. Step 3: Cross multiply
    2,178,445.50x = 3,197,682 × 3,197,682
  4. Step 4: Simplify right side
    2,178,445.50x = 10,225,170,173,124
  5. Step 5: Solve for x
    x = 10,225,170,173,124/2,178,445.50
  6. Step 6: Final answer
    x = 4,693,792.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.