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Finding the Third Proportional to 685,264 and 1,472,588

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Solution

The third proportional to 685,264 and 1,472,588 is: 3,164,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,264 : 1,472,588 = 1,472,588 : x
  2. Step 2: Convert to fraction form
    685,264/1,472,588 = 1,472,588/x
  3. Step 3: Cross multiply
    685,264x = 1,472,588 × 1,472,588
  4. Step 4: Simplify right side
    685,264x = 2,168,515,417,744
  5. Step 5: Solve for x
    x = 2,168,515,417,744/685,264
  6. Step 6: Final answer
    x = 3,164,496.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.