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Finding the Third Proportional to 1,157,431 and 2,538,972

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Solution

The third proportional to 1,157,431 and 2,538,972 is: 5,569,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,431 : 2,538,972 = 2,538,972 : x
  2. Step 2: Convert to fraction form
    1,157,431/2,538,972 = 2,538,972/x
  3. Step 3: Cross multiply
    1,157,431x = 2,538,972 × 2,538,972
  4. Step 4: Simplify right side
    1,157,431x = 6,446,378,816,784
  5. Step 5: Solve for x
    x = 6,446,378,816,784/1,157,431
  6. Step 6: Final answer
    x = 5,569,557.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.