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Finding the Third Proportional to 3,012,787.50 and 4,214,008.50

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Solution

The third proportional to 3,012,787.50 and 4,214,008.50 is: 5,894,165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012,787.50 : 4,214,008.50 = 4,214,008.50 : x
  2. Step 2: Convert to fraction form
    3,012,787.50/4,214,008.50 = 4,214,008.50/x
  3. Step 3: Cross multiply
    3,012,787.50x = 4,214,008.50 × 4,214,008.50
  4. Step 4: Simplify right side
    3,012,787.50x = 17,757,867,638,072.25
  5. Step 5: Solve for x
    x = 17,757,867,638,072.25/3,012,787.50
  6. Step 6: Final answer
    x = 5,894,165.33

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.