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Finding the Third Proportional to 2,030,834.53 and 4,322,468.81

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Solution

The third proportional to 2,030,834.53 and 4,322,468.81 is: 9,200,029.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,834.53 : 4,322,468.81 = 4,322,468.81 : x
  2. Step 2: Convert to fraction form
    2,030,834.53/4,322,468.81 = 4,322,468.81/x
  3. Step 3: Cross multiply
    2,030,834.53x = 4,322,468.81 × 4,322,468.81
  4. Step 4: Simplify right side
    2,030,834.53x = 18,683,736,635,035.16
  5. Step 5: Solve for x
    x = 18,683,736,635,035.16/2,030,834.53
  6. Step 6: Final answer
    x = 9,200,029.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.