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Finding the Third Proportional to 898,285 and 1,921,034

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Solution

The third proportional to 898,285 and 1,921,034 is: 4,108,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,285 : 1,921,034 = 1,921,034 : x
  2. Step 2: Convert to fraction form
    898,285/1,921,034 = 1,921,034/x
  3. Step 3: Cross multiply
    898,285x = 1,921,034 × 1,921,034
  4. Step 4: Simplify right side
    898,285x = 3,690,371,629,156
  5. Step 5: Solve for x
    x = 3,690,371,629,156/898,285
  6. Step 6: Final answer
    x = 4,108,241.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.