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Finding the Third Proportional to 725,175 and 1,590,318

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Solution

The third proportional to 725,175 and 1,590,318 is: 3,487,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,175 : 1,590,318 = 1,590,318 : x
  2. Step 2: Convert to fraction form
    725,175/1,590,318 = 1,590,318/x
  3. Step 3: Cross multiply
    725,175x = 1,590,318 × 1,590,318
  4. Step 4: Simplify right side
    725,175x = 2,529,111,341,124
  5. Step 5: Solve for x
    x = 2,529,111,341,124/725,175
  6. Step 6: Final answer
    x = 3,487,587.60

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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.