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Finding the Third Proportional to 614,072 and 935,964

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Solution

The third proportional to 614,072 and 935,964 is: 1,426,589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,072 : 935,964 = 935,964 : x
  2. Step 2: Convert to fraction form
    614,072/935,964 = 935,964/x
  3. Step 3: Cross multiply
    614,072x = 935,964 × 935,964
  4. Step 4: Simplify right side
    614,072x = 876,028,609,296
  5. Step 5: Solve for x
    x = 876,028,609,296/614,072
  6. Step 6: Final answer
    x = 1,426,589.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.