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Finding the Third Proportional to 984,794.63 and 2,142,135

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Solution

The third proportional to 984,794.63 and 2,142,135 is: 4,659,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,794.63 : 2,142,135 = 2,142,135 : x
  2. Step 2: Convert to fraction form
    984,794.63/2,142,135 = 2,142,135/x
  3. Step 3: Cross multiply
    984,794.63x = 2,142,135 × 2,142,135
  4. Step 4: Simplify right side
    984,794.63x = 4,588,742,358,225
  5. Step 5: Solve for x
    x = 4,588,742,358,225/984,794.63
  6. Step 6: Final answer
    x = 4,659,593.22

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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.