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Finding the Third Proportional to 910,698 and 1,463,247

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Solution

The third proportional to 910,698 and 1,463,247 is: 2,351,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,698 : 1,463,247 = 1,463,247 : x
  2. Step 2: Convert to fraction form
    910,698/1,463,247 = 1,463,247/x
  3. Step 3: Cross multiply
    910,698x = 1,463,247 × 1,463,247
  4. Step 4: Simplify right side
    910,698x = 2,141,091,783,009
  5. Step 5: Solve for x
    x = 2,141,091,783,009/910,698
  6. Step 6: Final answer
    x = 2,351,044.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.