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Finding the Third Proportional to 2,355,229 and 5,101,730

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Solution

The third proportional to 2,355,229 and 5,101,730 is: 11,051,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355,229 : 5,101,730 = 5,101,730 : x
  2. Step 2: Convert to fraction form
    2,355,229/5,101,730 = 5,101,730/x
  3. Step 3: Cross multiply
    2,355,229x = 5,101,730 × 5,101,730
  4. Step 4: Simplify right side
    2,355,229x = 26,027,648,992,900
  5. Step 5: Solve for x
    x = 26,027,648,992,900/2,355,229
  6. Step 6: Final answer
    x = 11,051,005.65

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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.