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Finding the Third Proportional to 835,462.13 and 1,827,415.13

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Solution

The third proportional to 835,462.13 and 1,827,415.13 is: 3,997,124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,462.13 : 1,827,415.13 = 1,827,415.13 : x
  2. Step 2: Convert to fraction form
    835,462.13/1,827,415.13 = 1,827,415.13/x
  3. Step 3: Cross multiply
    835,462.13x = 1,827,415.13 × 1,827,415.13
  4. Step 4: Simplify right side
    835,462.13x = 3,339,446,039,078.77
  5. Step 5: Solve for x
    x = 3,339,446,039,078.77/835,462.13
  6. Step 6: Final answer
    x = 3,997,124.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.