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Finding the Third Proportional to 600,924 and 1,218,442

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Solution

The third proportional to 600,924 and 1,218,442 is: 2,470,530.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,924 : 1,218,442 = 1,218,442 : x
  2. Step 2: Convert to fraction form
    600,924/1,218,442 = 1,218,442/x
  3. Step 3: Cross multiply
    600,924x = 1,218,442 × 1,218,442
  4. Step 4: Simplify right side
    600,924x = 1,484,600,907,364
  5. Step 5: Solve for x
    x = 1,484,600,907,364/600,924
  6. Step 6: Final answer
    x = 2,470,530.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.