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Finding the Third Proportional to 1,210,314 and 1,644,540

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Solution

The third proportional to 1,210,314 and 1,644,540 is: 2,234,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210,314 : 1,644,540 = 1,644,540 : x
  2. Step 2: Convert to fraction form
    1,210,314/1,644,540 = 1,644,540/x
  3. Step 3: Cross multiply
    1,210,314x = 1,644,540 × 1,644,540
  4. Step 4: Simplify right side
    1,210,314x = 2,704,511,811,600
  5. Step 5: Solve for x
    x = 2,704,511,811,600/1,210,314
  6. Step 6: Final answer
    x = 2,234,553.85

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.