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Finding the Third Proportional to 920,499 and 1,904,910

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Solution

The third proportional to 920,499 and 1,904,910 is: 3,942,081.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,499 : 1,904,910 = 1,904,910 : x
  2. Step 2: Convert to fraction form
    920,499/1,904,910 = 1,904,910/x
  3. Step 3: Cross multiply
    920,499x = 1,904,910 × 1,904,910
  4. Step 4: Simplify right side
    920,499x = 3,628,682,108,100
  5. Step 5: Solve for x
    x = 3,628,682,108,100/920,499
  6. Step 6: Final answer
    x = 3,942,081.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.