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Finding the Third Proportional to 2,166,709.50 and 4,613,355

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Solution

The third proportional to 2,166,709.50 and 4,613,355 is: 9,822,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166,709.50 : 4,613,355 = 4,613,355 : x
  2. Step 2: Convert to fraction form
    2,166,709.50/4,613,355 = 4,613,355/x
  3. Step 3: Cross multiply
    2,166,709.50x = 4,613,355 × 4,613,355
  4. Step 4: Simplify right side
    2,166,709.50x = 21,283,044,356,025
  5. Step 5: Solve for x
    x = 21,283,044,356,025/2,166,709.50
  6. Step 6: Final answer
    x = 9,822,749.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.