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Finding the Third Proportional to 984,573 and 1,475,217

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Solution

The third proportional to 984,573 and 1,475,217 is: 2,210,364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,573 : 1,475,217 = 1,475,217 : x
  2. Step 2: Convert to fraction form
    984,573/1,475,217 = 1,475,217/x
  3. Step 3: Cross multiply
    984,573x = 1,475,217 × 1,475,217
  4. Step 4: Simplify right side
    984,573x = 2,176,265,197,089
  5. Step 5: Solve for x
    x = 2,176,265,197,089/984,573
  6. Step 6: Final answer
    x = 2,210,364.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.