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Finding the Third Proportional to 2,111,212.50 and 4,554,201

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Solution

The third proportional to 2,111,212.50 and 4,554,201 is: 9,824,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111,212.50 : 4,554,201 = 4,554,201 : x
  2. Step 2: Convert to fraction form
    2,111,212.50/4,554,201 = 4,554,201/x
  3. Step 3: Cross multiply
    2,111,212.50x = 4,554,201 × 4,554,201
  4. Step 4: Simplify right side
    2,111,212.50x = 20,740,746,748,401
  5. Step 5: Solve for x
    x = 20,740,746,748,401/2,111,212.50
  6. Step 6: Final answer
    x = 9,824,092.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.