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Finding the Third Proportional to 575,538.75 and 1,210,734

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Solution

The third proportional to 575,538.75 and 1,210,734 is: 2,546,964.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,538.75 : 1,210,734 = 1,210,734 : x
  2. Step 2: Convert to fraction form
    575,538.75/1,210,734 = 1,210,734/x
  3. Step 3: Cross multiply
    575,538.75x = 1,210,734 × 1,210,734
  4. Step 4: Simplify right side
    575,538.75x = 1,465,876,818,756
  5. Step 5: Solve for x
    x = 1,465,876,818,756/575,538.75
  6. Step 6: Final answer
    x = 2,546,964.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.