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Finding the Third Proportional to 2,051,216 and 4,496,061

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Solution

The third proportional to 2,051,216 and 4,496,061 is: 9,854,917.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,216 : 4,496,061 = 4,496,061 : x
  2. Step 2: Convert to fraction form
    2,051,216/4,496,061 = 4,496,061/x
  3. Step 3: Cross multiply
    2,051,216x = 4,496,061 × 4,496,061
  4. Step 4: Simplify right side
    2,051,216x = 20,214,564,515,721
  5. Step 5: Solve for x
    x = 20,214,564,515,721/2,051,216
  6. Step 6: Final answer
    x = 9,854,917.53

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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.