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Finding the Third Proportional to 1,765,536.91 and 2,498,922.30

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Solution

The third proportional to 1,765,536.91 and 2,498,922.30 is: 3,536,948.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765,536.91 : 2,498,922.30 = 2,498,922.30 : x
  2. Step 2: Convert to fraction form
    1,765,536.91/2,498,922.30 = 2,498,922.30/x
  3. Step 3: Cross multiply
    1,765,536.91x = 2,498,922.30 × 2,498,922.30
  4. Step 4: Simplify right side
    1,765,536.91x = 6,244,612,655,580.82
  5. Step 5: Solve for x
    x = 6,244,612,655,580.82/1,765,536.91
  6. Step 6: Final answer
    x = 3,536,948.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.