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Finding the Third Proportional to 605,572 and 1,314,175

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Solution

The third proportional to 605,572 and 1,314,175 is: 2,851,941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,572 : 1,314,175 = 1,314,175 : x
  2. Step 2: Convert to fraction form
    605,572/1,314,175 = 1,314,175/x
  3. Step 3: Cross multiply
    605,572x = 1,314,175 × 1,314,175
  4. Step 4: Simplify right side
    605,572x = 1,727,055,930,625
  5. Step 5: Solve for x
    x = 1,727,055,930,625/605,572
  6. Step 6: Final answer
    x = 2,851,941.52

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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.