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Finding the Third Proportional to 2,194,657 and 5,286,602.50

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Solution

The third proportional to 2,194,657 and 5,286,602.50 is: 12,734,639.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194,657 : 5,286,602.50 = 5,286,602.50 : x
  2. Step 2: Convert to fraction form
    2,194,657/5,286,602.50 = 5,286,602.50/x
  3. Step 3: Cross multiply
    2,194,657x = 5,286,602.50 × 5,286,602.50
  4. Step 4: Simplify right side
    2,194,657x = 27,948,165,993,006.25
  5. Step 5: Solve for x
    x = 27,948,165,993,006.25/2,194,657
  6. Step 6: Final answer
    x = 12,734,639.62

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.