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Finding the Third Proportional to 2,434,920.75 and 3,785,008.50

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Solution

The third proportional to 2,434,920.75 and 3,785,008.50 is: 5,883,677.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434,920.75 : 3,785,008.50 = 3,785,008.50 : x
  2. Step 2: Convert to fraction form
    2,434,920.75/3,785,008.50 = 3,785,008.50/x
  3. Step 3: Cross multiply
    2,434,920.75x = 3,785,008.50 × 3,785,008.50
  4. Step 4: Simplify right side
    2,434,920.75x = 14,326,289,345,072.25
  5. Step 5: Solve for x
    x = 14,326,289,345,072.25/2,434,920.75
  6. Step 6: Final answer
    x = 5,883,677.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.