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Finding the Third Proportional to 1,634,377.50 and 3,797,986.50

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Solution

The third proportional to 1,634,377.50 and 3,797,986.50 is: 8,825,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634,377.50 : 3,797,986.50 = 3,797,986.50 : x
  2. Step 2: Convert to fraction form
    1,634,377.50/3,797,986.50 = 3,797,986.50/x
  3. Step 3: Cross multiply
    1,634,377.50x = 3,797,986.50 × 3,797,986.50
  4. Step 4: Simplify right side
    1,634,377.50x = 14,424,701,454,182.25
  5. Step 5: Solve for x
    x = 14,424,701,454,182.25/1,634,377.50
  6. Step 6: Final answer
    x = 8,825,807.66

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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.