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Finding the Third Proportional to 2,068,731.14 and 4,509,909.14

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Solution

The third proportional to 2,068,731.14 and 4,509,909.14 is: 9,831,765.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068,731.14 : 4,509,909.14 = 4,509,909.14 : x
  2. Step 2: Convert to fraction form
    2,068,731.14/4,509,909.14 = 4,509,909.14/x
  3. Step 3: Cross multiply
    2,068,731.14x = 4,509,909.14 × 4,509,909.14
  4. Step 4: Simplify right side
    2,068,731.14x = 20,339,280,456,692.93
  5. Step 5: Solve for x
    x = 20,339,280,456,692.93/2,068,731.14
  6. Step 6: Final answer
    x = 9,831,765.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.