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Finding the Third Proportional to 835,515 and 1,827,519.75

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Solution

The third proportional to 835,515 and 1,827,519.75 is: 3,997,329.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,515 : 1,827,519.75 = 1,827,519.75 : x
  2. Step 2: Convert to fraction form
    835,515/1,827,519.75 = 1,827,519.75/x
  3. Step 3: Cross multiply
    835,515x = 1,827,519.75 × 1,827,519.75
  4. Step 4: Simplify right side
    835,515x = 3,339,828,436,640.06
  5. Step 5: Solve for x
    x = 3,339,828,436,640.06/835,515
  6. Step 6: Final answer
    x = 3,997,329.12

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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.