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Finding the Third Proportional to 959,024.25 and 1,431,972

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Solution

The third proportional to 959,024.25 and 1,431,972 is: 2,138,156.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,024.25 : 1,431,972 = 1,431,972 : x
  2. Step 2: Convert to fraction form
    959,024.25/1,431,972 = 1,431,972/x
  3. Step 3: Cross multiply
    959,024.25x = 1,431,972 × 1,431,972
  4. Step 4: Simplify right side
    959,024.25x = 2,050,543,808,784
  5. Step 5: Solve for x
    x = 2,050,543,808,784/959,024.25
  6. Step 6: Final answer
    x = 2,138,156.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.