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Finding the Third Proportional to 725,218 and 1,570,964

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Solution

The third proportional to 725,218 and 1,570,964 is: 3,403,015.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,218 : 1,570,964 = 1,570,964 : x
  2. Step 2: Convert to fraction form
    725,218/1,570,964 = 1,570,964/x
  3. Step 3: Cross multiply
    725,218x = 1,570,964 × 1,570,964
  4. Step 4: Simplify right side
    725,218x = 2,467,927,889,296
  5. Step 5: Solve for x
    x = 2,467,927,889,296/725,218
  6. Step 6: Final answer
    x = 3,403,015.22

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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.