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Finding the Third Proportional to 965,497 and 2,121,314

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Solution

The third proportional to 965,497 and 2,121,314 is: 4,660,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,497 : 2,121,314 = 2,121,314 : x
  2. Step 2: Convert to fraction form
    965,497/2,121,314 = 2,121,314/x
  3. Step 3: Cross multiply
    965,497x = 2,121,314 × 2,121,314
  4. Step 4: Simplify right side
    965,497x = 4,499,973,086,596
  5. Step 5: Solve for x
    x = 4,499,973,086,596/965,497
  6. Step 6: Final answer
    x = 4,660,784.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.