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Finding the Third Proportional to 1,712,576.25 and 3,726,635.63

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Solution

The third proportional to 1,712,576.25 and 3,726,635.63 is: 8,109,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712,576.25 : 3,726,635.63 = 3,726,635.63 : x
  2. Step 2: Convert to fraction form
    1,712,576.25/3,726,635.63 = 3,726,635.63/x
  3. Step 3: Cross multiply
    1,712,576.25x = 3,726,635.63 × 3,726,635.63
  4. Step 4: Simplify right side
    1,712,576.25x = 13,887,813,081,519.14
  5. Step 5: Solve for x
    x = 13,887,813,081,519.14/1,712,576.25
  6. Step 6: Final answer
    x = 8,109,310.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.