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Finding the Third Proportional to 2,429,759 and 5,317,148

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Solution

The third proportional to 2,429,759 and 5,317,148 is: 11,635,747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,759 : 5,317,148 = 5,317,148 : x
  2. Step 2: Convert to fraction form
    2,429,759/5,317,148 = 5,317,148/x
  3. Step 3: Cross multiply
    2,429,759x = 5,317,148 × 5,317,148
  4. Step 4: Simplify right side
    2,429,759x = 28,272,062,853,904
  5. Step 5: Solve for x
    x = 28,272,062,853,904/2,429,759
  6. Step 6: Final answer
    x = 11,635,747.77

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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.