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Finding the Third Proportional to 2,796,069 and 6,049,140

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Solution

The third proportional to 2,796,069 and 6,049,140 is: 13,086,978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796,069 : 6,049,140 = 6,049,140 : x
  2. Step 2: Convert to fraction form
    2,796,069/6,049,140 = 6,049,140/x
  3. Step 3: Cross multiply
    2,796,069x = 6,049,140 × 6,049,140
  4. Step 4: Simplify right side
    2,796,069x = 36,592,094,739,600
  5. Step 5: Solve for x
    x = 36,592,094,739,600/2,796,069
  6. Step 6: Final answer
    x = 13,086,978.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.