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Finding the Third Proportional to 1,294,234.14 and 2,009,511.28

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Solution

The third proportional to 1,294,234.14 and 2,009,511.28 is: 3,120,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,234.14 : 2,009,511.28 = 2,009,511.28 : x
  2. Step 2: Convert to fraction form
    1,294,234.14/2,009,511.28 = 2,009,511.28/x
  3. Step 3: Cross multiply
    1,294,234.14x = 2,009,511.28 × 2,009,511.28
  4. Step 4: Simplify right side
    1,294,234.14x = 4,038,135,589,471.02
  5. Step 5: Solve for x
    x = 4,038,135,589,471.02/1,294,234.14
  6. Step 6: Final answer
    x = 3,120,096.65

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Why These Related Problems?

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