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Finding the Third Proportional to 898,553 and 1,954,561

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Solution

The third proportional to 898,553 and 1,954,561 is: 4,251,623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,553 : 1,954,561 = 1,954,561 : x
  2. Step 2: Convert to fraction form
    898,553/1,954,561 = 1,954,561/x
  3. Step 3: Cross multiply
    898,553x = 1,954,561 × 1,954,561
  4. Step 4: Simplify right side
    898,553x = 3,820,308,702,721
  5. Step 5: Solve for x
    x = 3,820,308,702,721/898,553
  6. Step 6: Final answer
    x = 4,251,623.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.