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Finding the Third Proportional to 984,384 and 1,505,376

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Solution

The third proportional to 984,384 and 1,505,376 is: 2,302,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,384 : 1,505,376 = 1,505,376 : x
  2. Step 2: Convert to fraction form
    984,384/1,505,376 = 1,505,376/x
  3. Step 3: Cross multiply
    984,384x = 1,505,376 × 1,505,376
  4. Step 4: Simplify right side
    984,384x = 2,266,156,901,376
  5. Step 5: Solve for x
    x = 2,266,156,901,376/984,384
  6. Step 6: Final answer
    x = 2,302,106.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.