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Finding the Third Proportional to 898,800 and 1,908,408

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Solution

The third proportional to 898,800 and 1,908,408 is: 4,052,092.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,800 : 1,908,408 = 1,908,408 : x
  2. Step 2: Convert to fraction form
    898,800/1,908,408 = 1,908,408/x
  3. Step 3: Cross multiply
    898,800x = 1,908,408 × 1,908,408
  4. Step 4: Simplify right side
    898,800x = 3,642,021,094,464
  5. Step 5: Solve for x
    x = 3,642,021,094,464/898,800
  6. Step 6: Final answer
    x = 4,052,092.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.