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Finding the Third Proportional to 984,566 and 1,407,915

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Solution

The third proportional to 984,566 and 1,407,915 is: 2,013,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,566 : 1,407,915 = 1,407,915 : x
  2. Step 2: Convert to fraction form
    984,566/1,407,915 = 1,407,915/x
  3. Step 3: Cross multiply
    984,566x = 1,407,915 × 1,407,915
  4. Step 4: Simplify right side
    984,566x = 1,982,224,647,225
  5. Step 5: Solve for x
    x = 1,982,224,647,225/984,566
  6. Step 6: Final answer
    x = 2,013,297.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.