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Finding the Third Proportional to 2,126,709 and 4,666,760

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Solution

The third proportional to 2,126,709 and 4,666,760 is: 10,240,540.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126,709 : 4,666,760 = 4,666,760 : x
  2. Step 2: Convert to fraction form
    2,126,709/4,666,760 = 4,666,760/x
  3. Step 3: Cross multiply
    2,126,709x = 4,666,760 × 4,666,760
  4. Step 4: Simplify right side
    2,126,709x = 21,778,648,897,600
  5. Step 5: Solve for x
    x = 21,778,648,897,600/2,126,709
  6. Step 6: Final answer
    x = 10,240,540.15

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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.