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Finding the Third Proportional to 2,134,846 and 4,648,745

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Solution

The third proportional to 2,134,846 and 4,648,745 is: 10,122,898.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134,846 : 4,648,745 = 4,648,745 : x
  2. Step 2: Convert to fraction form
    2,134,846/4,648,745 = 4,648,745/x
  3. Step 3: Cross multiply
    2,134,846x = 4,648,745 × 4,648,745
  4. Step 4: Simplify right side
    2,134,846x = 21,610,830,075,025
  5. Step 5: Solve for x
    x = 21,610,830,075,025/2,134,846
  6. Step 6: Final answer
    x = 10,122,898.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.