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Finding the Third Proportional to 2,126,701 and 4,666,745

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Solution

The third proportional to 2,126,701 and 4,666,745 is: 10,240,512.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126,701 : 4,666,745 = 4,666,745 : x
  2. Step 2: Convert to fraction form
    2,126,701/4,666,745 = 4,666,745/x
  3. Step 3: Cross multiply
    2,126,701x = 4,666,745 × 4,666,745
  4. Step 4: Simplify right side
    2,126,701x = 21,778,508,895,025
  5. Step 5: Solve for x
    x = 21,778,508,895,025/2,126,701
  6. Step 6: Final answer
    x = 10,240,512.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.