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Finding the Third Proportional to 725,202 and 1,570,932

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Solution

The third proportional to 725,202 and 1,570,932 is: 3,402,951.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,202 : 1,570,932 = 1,570,932 : x
  2. Step 2: Convert to fraction form
    725,202/1,570,932 = 1,570,932/x
  3. Step 3: Cross multiply
    725,202x = 1,570,932 × 1,570,932
  4. Step 4: Simplify right side
    725,202x = 2,467,827,348,624
  5. Step 5: Solve for x
    x = 2,467,827,348,624/725,202
  6. Step 6: Final answer
    x = 3,402,951.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.