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Finding the Third Proportional to 2,748,782 and 4,194,271

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Solution

The third proportional to 2,748,782 and 4,194,271 is: 6,399,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748,782 : 4,194,271 = 4,194,271 : x
  2. Step 2: Convert to fraction form
    2,748,782/4,194,271 = 4,194,271/x
  3. Step 3: Cross multiply
    2,748,782x = 4,194,271 × 4,194,271
  4. Step 4: Simplify right side
    2,748,782x = 17,591,909,221,441
  5. Step 5: Solve for x
    x = 17,591,909,221,441/2,748,782
  6. Step 6: Final answer
    x = 6,399,892.47

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.