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Finding the Third Proportional to 677,324 and 1,480,584

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Solution

The third proportional to 677,324 and 1,480,584 is: 3,236,455.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,324 : 1,480,584 = 1,480,584 : x
  2. Step 2: Convert to fraction form
    677,324/1,480,584 = 1,480,584/x
  3. Step 3: Cross multiply
    677,324x = 1,480,584 × 1,480,584
  4. Step 4: Simplify right side
    677,324x = 2,192,128,981,056
  5. Step 5: Solve for x
    x = 2,192,128,981,056/677,324
  6. Step 6: Final answer
    x = 3,236,455.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.