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Finding the Third Proportional to 762,767 and 1,035,936

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Solution

The third proportional to 762,767 and 1,035,936 is: 1,406,934.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,767 : 1,035,936 = 1,035,936 : x
  2. Step 2: Convert to fraction form
    762,767/1,035,936 = 1,035,936/x
  3. Step 3: Cross multiply
    762,767x = 1,035,936 × 1,035,936
  4. Step 4: Simplify right side
    762,767x = 1,073,163,396,096
  5. Step 5: Solve for x
    x = 1,073,163,396,096/762,767
  6. Step 6: Final answer
    x = 1,406,934.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.