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Finding the Third Proportional to 618,120 and 935,844

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Solution

The third proportional to 618,120 and 935,844 is: 1,416,883.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,120 : 935,844 = 935,844 : x
  2. Step 2: Convert to fraction form
    618,120/935,844 = 935,844/x
  3. Step 3: Cross multiply
    618,120x = 935,844 × 935,844
  4. Step 4: Simplify right side
    618,120x = 875,803,992,336
  5. Step 5: Solve for x
    x = 875,803,992,336/618,120
  6. Step 6: Final answer
    x = 1,416,883.44

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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.