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Finding the Third Proportional to 598,610 and 897,887

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Solution

The third proportional to 598,610 and 897,887 is: 1,346,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,610 : 897,887 = 897,887 : x
  2. Step 2: Convert to fraction form
    598,610/897,887 = 897,887/x
  3. Step 3: Cross multiply
    598,610x = 897,887 × 897,887
  4. Step 4: Simplify right side
    598,610x = 806,201,064,769
  5. Step 5: Solve for x
    x = 806,201,064,769/598,610
  6. Step 6: Final answer
    x = 1,346,788.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.