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Finding the Third Proportional to 646,840.69 and 1,376,650.69

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Solution

The third proportional to 646,840.69 and 1,376,650.69 is: 2,929,882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,840.69 : 1,376,650.69 = 1,376,650.69 : x
  2. Step 2: Convert to fraction form
    646,840.69/1,376,650.69 = 1,376,650.69/x
  3. Step 3: Cross multiply
    646,840.69x = 1,376,650.69 × 1,376,650.69
  4. Step 4: Simplify right side
    646,840.69x = 1,895,167,115,394.22
  5. Step 5: Solve for x
    x = 1,895,167,115,394.22/646,840.69
  6. Step 6: Final answer
    x = 2,929,882.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.