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Finding the Third Proportional to 2,106,041 and 4,548,312

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Solution

The third proportional to 2,106,041 and 4,548,312 is: 9,822,763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,041 : 4,548,312 = 4,548,312 : x
  2. Step 2: Convert to fraction form
    2,106,041/4,548,312 = 4,548,312/x
  3. Step 3: Cross multiply
    2,106,041x = 4,548,312 × 4,548,312
  4. Step 4: Simplify right side
    2,106,041x = 20,687,142,049,344
  5. Step 5: Solve for x
    x = 20,687,142,049,344/2,106,041
  6. Step 6: Final answer
    x = 9,822,763.21

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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.