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Finding the Third Proportional to 1,516,051.69 and 2,217,640.78

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Solution

The third proportional to 1,516,051.69 and 2,217,640.78 is: 3,243,906.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516,051.69 : 2,217,640.78 = 2,217,640.78 : x
  2. Step 2: Convert to fraction form
    1,516,051.69/2,217,640.78 = 2,217,640.78/x
  3. Step 3: Cross multiply
    1,516,051.69x = 2,217,640.78 × 2,217,640.78
  4. Step 4: Simplify right side
    1,516,051.69x = 4,917,930,634,663.11
  5. Step 5: Solve for x
    x = 4,917,930,634,663.11/1,516,051.69
  6. Step 6: Final answer
    x = 3,243,906.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.