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Finding the Third Proportional to 598,222 and 1,280,518

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Solution

The third proportional to 598,222 and 1,280,518 is: 2,740,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,222 : 1,280,518 = 1,280,518 : x
  2. Step 2: Convert to fraction form
    598,222/1,280,518 = 1,280,518/x
  3. Step 3: Cross multiply
    598,222x = 1,280,518 × 1,280,518
  4. Step 4: Simplify right side
    598,222x = 1,639,726,348,324
  5. Step 5: Solve for x
    x = 1,639,726,348,324/598,222
  6. Step 6: Final answer
    x = 2,740,999.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.