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Finding the Third Proportional to 898,289 and 1,921,042

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Solution

The third proportional to 898,289 and 1,921,042 is: 4,108,257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,289 : 1,921,042 = 1,921,042 : x
  2. Step 2: Convert to fraction form
    898,289/1,921,042 = 1,921,042/x
  3. Step 3: Cross multiply
    898,289x = 1,921,042 × 1,921,042
  4. Step 4: Simplify right side
    898,289x = 3,690,402,365,764
  5. Step 5: Solve for x
    x = 3,690,402,365,764/898,289
  6. Step 6: Final answer
    x = 4,108,257.33

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