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Finding the Third Proportional to 2,065,740 and 4,474,516

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Solution

The third proportional to 2,065,740 and 4,474,516 is: 9,692,068.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,740 : 4,474,516 = 4,474,516 : x
  2. Step 2: Convert to fraction form
    2,065,740/4,474,516 = 4,474,516/x
  3. Step 3: Cross multiply
    2,065,740x = 4,474,516 × 4,474,516
  4. Step 4: Simplify right side
    2,065,740x = 20,021,293,434,256
  5. Step 5: Solve for x
    x = 20,021,293,434,256/2,065,740
  6. Step 6: Final answer
    x = 9,692,068.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.