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Finding the Third Proportional to 984,172 and 2,152,156

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Solution

The third proportional to 984,172 and 2,152,156 is: 4,706,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,172 : 2,152,156 = 2,152,156 : x
  2. Step 2: Convert to fraction form
    984,172/2,152,156 = 2,152,156/x
  3. Step 3: Cross multiply
    984,172x = 2,152,156 × 2,152,156
  4. Step 4: Simplify right side
    984,172x = 4,631,775,448,336
  5. Step 5: Solve for x
    x = 4,631,775,448,336/984,172
  6. Step 6: Final answer
    x = 4,706,266.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.