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Finding the Third Proportional to 557,153 and 1,202,974

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Solution

The third proportional to 557,153 and 1,202,974 is: 2,597,395.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,153 : 1,202,974 = 1,202,974 : x
  2. Step 2: Convert to fraction form
    557,153/1,202,974 = 1,202,974/x
  3. Step 3: Cross multiply
    557,153x = 1,202,974 × 1,202,974
  4. Step 4: Simplify right side
    557,153x = 1,447,146,444,676
  5. Step 5: Solve for x
    x = 1,447,146,444,676/557,153
  6. Step 6: Final answer
    x = 2,597,395.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.