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Finding the Third Proportional to 723,272 and 1,575,125

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Solution

The third proportional to 723,272 and 1,575,125 is: 3,430,270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,272 : 1,575,125 = 1,575,125 : x
  2. Step 2: Convert to fraction form
    723,272/1,575,125 = 1,575,125/x
  3. Step 3: Cross multiply
    723,272x = 1,575,125 × 1,575,125
  4. Step 4: Simplify right side
    723,272x = 2,481,018,765,625
  5. Step 5: Solve for x
    x = 2,481,018,765,625/723,272
  6. Step 6: Final answer
    x = 3,430,270.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.