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Finding the Third Proportional to 898,408.13 and 1,356,969.38

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Solution

The third proportional to 898,408.13 and 1,356,969.38 is: 2,049,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,408.13 : 1,356,969.38 = 1,356,969.38 : x
  2. Step 2: Convert to fraction form
    898,408.13/1,356,969.38 = 1,356,969.38/x
  3. Step 3: Cross multiply
    898,408.13x = 1,356,969.38 × 1,356,969.38
  4. Step 4: Simplify right side
    898,408.13x = 1,841,365,884,687.89
  5. Step 5: Solve for x
    x = 1,841,365,884,687.89/898,408.13
  6. Step 6: Final answer
    x = 2,049,587.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.