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Finding the Third Proportional to 1,400,206.50 and 2,162,502

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Solution

The third proportional to 1,400,206.50 and 2,162,502 is: 3,339,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400,206.50 : 2,162,502 = 2,162,502 : x
  2. Step 2: Convert to fraction form
    1,400,206.50/2,162,502 = 2,162,502/x
  3. Step 3: Cross multiply
    1,400,206.50x = 2,162,502 × 2,162,502
  4. Step 4: Simplify right side
    1,400,206.50x = 4,676,414,900,004
  5. Step 5: Solve for x
    x = 4,676,414,900,004/1,400,206.50
  6. Step 6: Final answer
    x = 3,339,803.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.