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Finding the Third Proportional to 2,420,477.50 and 5,214,402

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Solution

The third proportional to 2,420,477.50 and 5,214,402 is: 11,233,315.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420,477.50 : 5,214,402 = 5,214,402 : x
  2. Step 2: Convert to fraction form
    2,420,477.50/5,214,402 = 5,214,402/x
  3. Step 3: Cross multiply
    2,420,477.50x = 5,214,402 × 5,214,402
  4. Step 4: Simplify right side
    2,420,477.50x = 27,189,988,217,604
  5. Step 5: Solve for x
    x = 27,189,988,217,604/2,420,477.50
  6. Step 6: Final answer
    x = 11,233,315.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.