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Finding the Third Proportional to 898,284 and 1,921,032

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Solution

The third proportional to 898,284 and 1,921,032 is: 4,108,237.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,284 : 1,921,032 = 1,921,032 : x
  2. Step 2: Convert to fraction form
    898,284/1,921,032 = 1,921,032/x
  3. Step 3: Cross multiply
    898,284x = 1,921,032 × 1,921,032
  4. Step 4: Simplify right side
    898,284x = 3,690,363,945,024
  5. Step 5: Solve for x
    x = 3,690,363,945,024/898,284
  6. Step 6: Final answer
    x = 4,108,237.42

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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.