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Finding the Third Proportional to 725,210 and 1,570,950

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Solution

The third proportional to 725,210 and 1,570,950 is: 3,402,992.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,210 : 1,570,950 = 1,570,950 : x
  2. Step 2: Convert to fraction form
    725,210/1,570,950 = 1,570,950/x
  3. Step 3: Cross multiply
    725,210x = 1,570,950 × 1,570,950
  4. Step 4: Simplify right side
    725,210x = 2,467,883,902,500
  5. Step 5: Solve for x
    x = 2,467,883,902,500/725,210
  6. Step 6: Final answer
    x = 3,402,992.10

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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.