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Finding the Third Proportional to 604,860 and 1,281,324

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Solution

The third proportional to 604,860 and 1,281,324 is: 2,714,332.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,860 : 1,281,324 = 1,281,324 : x
  2. Step 2: Convert to fraction form
    604,860/1,281,324 = 1,281,324/x
  3. Step 3: Cross multiply
    604,860x = 1,281,324 × 1,281,324
  4. Step 4: Simplify right side
    604,860x = 1,641,791,192,976
  5. Step 5: Solve for x
    x = 1,641,791,192,976/604,860
  6. Step 6: Final answer
    x = 2,714,332.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.