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Finding the Third Proportional to 2,134,843.80 and 4,648,738.29

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Solution

The third proportional to 2,134,843.80 and 4,648,738.29 is: 10,122,880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134,843.80 : 4,648,738.29 = 4,648,738.29 : x
  2. Step 2: Convert to fraction form
    2,134,843.80/4,648,738.29 = 4,648,738.29/x
  3. Step 3: Cross multiply
    2,134,843.80x = 4,648,738.29 × 4,648,738.29
  4. Step 4: Simplify right side
    2,134,843.80x = 21,610,767,680,195.74
  5. Step 5: Solve for x
    x = 21,610,767,680,195.74/2,134,843.80
  6. Step 6: Final answer
    x = 10,122,880.01

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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.