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Finding the Third Proportional to 437,149.41 and 1,030,464.28

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Solution

The third proportional to 437,149.41 and 1,030,464.28 is: 2,429,047.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,149.41 : 1,030,464.28 = 1,030,464.28 : x
  2. Step 2: Convert to fraction form
    437,149.41/1,030,464.28 = 1,030,464.28/x
  3. Step 3: Cross multiply
    437,149.41x = 1,030,464.28 × 1,030,464.28
  4. Step 4: Simplify right side
    437,149.41x = 1,061,856,634,932.08
  5. Step 5: Solve for x
    x = 1,061,856,634,932.08/437,149.41
  6. Step 6: Final answer
    x = 2,429,047.41

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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.