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Finding the Third Proportional to 634,394.25 and 1,367,815.50

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Solution

The third proportional to 634,394.25 and 1,367,815.50 is: 2,949,142.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,394.25 : 1,367,815.50 = 1,367,815.50 : x
  2. Step 2: Convert to fraction form
    634,394.25/1,367,815.50 = 1,367,815.50/x
  3. Step 3: Cross multiply
    634,394.25x = 1,367,815.50 × 1,367,815.50
  4. Step 4: Simplify right side
    634,394.25x = 1,870,919,242,040.25
  5. Step 5: Solve for x
    x = 1,870,919,242,040.25/634,394.25
  6. Step 6: Final answer
    x = 2,949,142.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.