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Finding the Third Proportional to 619,424 and 937,707

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Solution

The third proportional to 619,424 and 937,707 is: 1,419,535.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,424 : 937,707 = 937,707 : x
  2. Step 2: Convert to fraction form
    619,424/937,707 = 937,707/x
  3. Step 3: Cross multiply
    619,424x = 937,707 × 937,707
  4. Step 4: Simplify right side
    619,424x = 879,294,417,849
  5. Step 5: Solve for x
    x = 879,294,417,849/619,424
  6. Step 6: Final answer
    x = 1,419,535.60

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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.