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Finding the Third Proportional to 619,427 and 937,711.50

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Solution

The third proportional to 619,427 and 937,711.50 is: 1,419,542.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,427 : 937,711.50 = 937,711.50 : x
  2. Step 2: Convert to fraction form
    619,427/937,711.50 = 937,711.50/x
  3. Step 3: Cross multiply
    619,427x = 937,711.50 × 937,711.50
  4. Step 4: Simplify right side
    619,427x = 879,302,857,232.25
  5. Step 5: Solve for x
    x = 879,302,857,232.25/619,427
  6. Step 6: Final answer
    x = 1,419,542.35

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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.