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Finding the Third Proportional to 588,216 and 1,288,440

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Solution

The third proportional to 588,216 and 1,288,440 is: 2,822,224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,216 : 1,288,440 = 1,288,440 : x
  2. Step 2: Convert to fraction form
    588,216/1,288,440 = 1,288,440/x
  3. Step 3: Cross multiply
    588,216x = 1,288,440 × 1,288,440
  4. Step 4: Simplify right side
    588,216x = 1,660,077,633,600
  5. Step 5: Solve for x
    x = 1,660,077,633,600/588,216
  6. Step 6: Final answer
    x = 2,822,224.55

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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.