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Finding the Third Proportional to 1,922,431.50 and 4,538,080.41

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Solution

The third proportional to 1,922,431.50 and 4,538,080.41 is: 10,712,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922,431.50 : 4,538,080.41 = 4,538,080.41 : x
  2. Step 2: Convert to fraction form
    1,922,431.50/4,538,080.41 = 4,538,080.41/x
  3. Step 3: Cross multiply
    1,922,431.50x = 4,538,080.41 × 4,538,080.41
  4. Step 4: Simplify right side
    1,922,431.50x = 20,594,173,773,590.16
  5. Step 5: Solve for x
    x = 20,594,173,773,590.16/1,922,431.50
  6. Step 6: Final answer
    x = 10,712,565.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.