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Finding the Third Proportional to 557,143 and 1,202,954

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Solution

The third proportional to 557,143 and 1,202,954 is: 2,597,355.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,143 : 1,202,954 = 1,202,954 : x
  2. Step 2: Convert to fraction form
    557,143/1,202,954 = 1,202,954/x
  3. Step 3: Cross multiply
    557,143x = 1,202,954 × 1,202,954
  4. Step 4: Simplify right side
    557,143x = 1,447,098,326,116
  5. Step 5: Solve for x
    x = 1,447,098,326,116/557,143
  6. Step 6: Final answer
    x = 2,597,355.30

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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.