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Finding the Third Proportional to 984,429 and 2,136,915

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Solution

The third proportional to 984,429 and 2,136,915 is: 4,638,633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,429 : 2,136,915 = 2,136,915 : x
  2. Step 2: Convert to fraction form
    984,429/2,136,915 = 2,136,915/x
  3. Step 3: Cross multiply
    984,429x = 2,136,915 × 2,136,915
  4. Step 4: Simplify right side
    984,429x = 4,566,405,717,225
  5. Step 5: Solve for x
    x = 4,566,405,717,225/984,429
  6. Step 6: Final answer
    x = 4,638,633.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.