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Finding the Third Proportional to 1,406,299.85 and 3,068,147.74

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Solution

The third proportional to 1,406,299.85 and 3,068,147.74 is: 6,693,828.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,299.85 : 3,068,147.74 = 3,068,147.74 : x
  2. Step 2: Convert to fraction form
    1,406,299.85/3,068,147.74 = 3,068,147.74/x
  3. Step 3: Cross multiply
    1,406,299.85x = 3,068,147.74 × 3,068,147.74
  4. Step 4: Simplify right side
    1,406,299.85x = 9,413,530,567,890.25
  5. Step 5: Solve for x
    x = 9,413,530,567,890.25/1,406,299.85
  6. Step 6: Final answer
    x = 6,693,828.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.