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Finding the Third Proportional to 1,146,206 and 2,461,540

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Solution

The third proportional to 1,146,206 and 2,461,540 is: 5,286,291.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146,206 : 2,461,540 = 2,461,540 : x
  2. Step 2: Convert to fraction form
    1,146,206/2,461,540 = 2,461,540/x
  3. Step 3: Cross multiply
    1,146,206x = 2,461,540 × 2,461,540
  4. Step 4: Simplify right side
    1,146,206x = 6,059,179,171,600
  5. Step 5: Solve for x
    x = 6,059,179,171,600/1,146,206
  6. Step 6: Final answer
    x = 5,286,291.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.