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Finding the Third Proportional to 575,181 and 889,691

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Solution

The third proportional to 575,181 and 889,691 is: 1,376,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,181 : 889,691 = 889,691 : x
  2. Step 2: Convert to fraction form
    575,181/889,691 = 889,691/x
  3. Step 3: Cross multiply
    575,181x = 889,691 × 889,691
  4. Step 4: Simplify right side
    575,181x = 791,550,075,481
  5. Step 5: Solve for x
    x = 791,550,075,481/575,181
  6. Step 6: Final answer
    x = 1,376,175.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.