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Finding the Third Proportional to 575,961 and 810,723

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Solution

The third proportional to 575,961 and 810,723 is: 1,141,174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,961 : 810,723 = 810,723 : x
  2. Step 2: Convert to fraction form
    575,961/810,723 = 810,723/x
  3. Step 3: Cross multiply
    575,961x = 810,723 × 810,723
  4. Step 4: Simplify right side
    575,961x = 657,271,782,729
  5. Step 5: Solve for x
    x = 657,271,782,729/575,961
  6. Step 6: Final answer
    x = 1,141,174.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.