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Finding the Third Proportional to 1,418,523.89 and 3,078,174.66

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Solution

The third proportional to 1,418,523.89 and 3,078,174.66 is: 6,679,590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418,523.89 : 3,078,174.66 = 3,078,174.66 : x
  2. Step 2: Convert to fraction form
    1,418,523.89/3,078,174.66 = 3,078,174.66/x
  3. Step 3: Cross multiply
    1,418,523.89x = 3,078,174.66 × 3,078,174.66
  4. Step 4: Simplify right side
    1,418,523.89x = 9,475,159,214,379.81
  5. Step 5: Solve for x
    x = 9,475,159,214,379.81/1,418,523.89
  6. Step 6: Final answer
    x = 6,679,590.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.