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Finding the Third Proportional to 1,498,396 and 2,297,598

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Solution

The third proportional to 1,498,396 and 2,297,598 is: 3,523,071.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498,396 : 2,297,598 = 2,297,598 : x
  2. Step 2: Convert to fraction form
    1,498,396/2,297,598 = 2,297,598/x
  3. Step 3: Cross multiply
    1,498,396x = 2,297,598 × 2,297,598
  4. Step 4: Simplify right side
    1,498,396x = 5,278,956,569,604
  5. Step 5: Solve for x
    x = 5,278,956,569,604/1,498,396
  6. Step 6: Final answer
    x = 3,523,071.72

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Why These Related Problems?

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