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Finding the Third Proportional to 1,444,456.55 and 3,415,980.09

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Solution

The third proportional to 1,444,456.55 and 3,415,980.09 is: 8,078,415.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444,456.55 : 3,415,980.09 = 3,415,980.09 : x
  2. Step 2: Convert to fraction form
    1,444,456.55/3,415,980.09 = 3,415,980.09/x
  3. Step 3: Cross multiply
    1,444,456.55x = 3,415,980.09 × 3,415,980.09
  4. Step 4: Simplify right side
    1,444,456.55x = 11,668,920,000,896.26
  5. Step 5: Solve for x
    x = 11,668,920,000,896.26/1,444,456.55
  6. Step 6: Final answer
    x = 8,078,415.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.