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Finding the Third Proportional to 575,660 and 919,650

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Solution

The third proportional to 575,660 and 919,650 is: 1,469,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,660 : 919,650 = 919,650 : x
  2. Step 2: Convert to fraction form
    575,660/919,650 = 919,650/x
  3. Step 3: Cross multiply
    575,660x = 919,650 × 919,650
  4. Step 4: Simplify right side
    575,660x = 845,756,122,500
  5. Step 5: Solve for x
    x = 845,756,122,500/575,660
  6. Step 6: Final answer
    x = 1,469,193.83

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.