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Finding the Third Proportional to 725,732 and 1,537,988

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Solution

The third proportional to 725,732 and 1,537,988 is: 3,259,339.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,732 : 1,537,988 = 1,537,988 : x
  2. Step 2: Convert to fraction form
    725,732/1,537,988 = 1,537,988/x
  3. Step 3: Cross multiply
    725,732x = 1,537,988 × 1,537,988
  4. Step 4: Simplify right side
    725,732x = 2,365,407,088,144
  5. Step 5: Solve for x
    x = 2,365,407,088,144/725,732
  6. Step 6: Final answer
    x = 3,259,339.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.