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Finding the Third Proportional to 598,347 and 1,280,772

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Solution

The third proportional to 598,347 and 1,280,772 is: 2,741,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,347 : 1,280,772 = 1,280,772 : x
  2. Step 2: Convert to fraction form
    598,347/1,280,772 = 1,280,772/x
  3. Step 3: Cross multiply
    598,347x = 1,280,772 × 1,280,772
  4. Step 4: Simplify right side
    598,347x = 1,640,376,915,984
  5. Step 5: Solve for x
    x = 1,640,376,915,984/598,347
  6. Step 6: Final answer
    x = 2,741,514.40

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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.