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Finding the Third Proportional to 458,336 and 984,376

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Solution

The third proportional to 458,336 and 984,376 is: 2,114,161.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,336 : 984,376 = 984,376 : x
  2. Step 2: Convert to fraction form
    458,336/984,376 = 984,376/x
  3. Step 3: Cross multiply
    458,336x = 984,376 × 984,376
  4. Step 4: Simplify right side
    458,336x = 968,996,109,376
  5. Step 5: Solve for x
    x = 968,996,109,376/458,336
  6. Step 6: Final answer
    x = 2,114,161.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.