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Finding the Third Proportional to 998,312 and 1,496,976

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Solution

The third proportional to 998,312 and 1,496,976 is: 2,244,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,312 : 1,496,976 = 1,496,976 : x
  2. Step 2: Convert to fraction form
    998,312/1,496,976 = 1,496,976/x
  3. Step 3: Cross multiply
    998,312x = 1,496,976 × 1,496,976
  4. Step 4: Simplify right side
    998,312x = 2,240,937,144,576
  5. Step 5: Solve for x
    x = 2,240,937,144,576/998,312
  6. Step 6: Final answer
    x = 2,244,726.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.