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Finding the Third Proportional to 2,172,582 and 3,286,830

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Solution

The third proportional to 2,172,582 and 3,286,830 is: 4,972,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172,582 : 3,286,830 = 3,286,830 : x
  2. Step 2: Convert to fraction form
    2,172,582/3,286,830 = 3,286,830/x
  3. Step 3: Cross multiply
    2,172,582x = 3,286,830 × 3,286,830
  4. Step 4: Simplify right side
    2,172,582x = 10,803,251,448,900
  5. Step 5: Solve for x
    x = 10,803,251,448,900/2,172,582
  6. Step 6: Final answer
    x = 4,972,540.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.