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Finding the Third Proportional to 762,765 and 1,035,933

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Solution

The third proportional to 762,765 and 1,035,933 is: 1,406,930.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,765 : 1,035,933 = 1,035,933 : x
  2. Step 2: Convert to fraction form
    762,765/1,035,933 = 1,035,933/x
  3. Step 3: Cross multiply
    762,765x = 1,035,933 × 1,035,933
  4. Step 4: Simplify right side
    762,765x = 1,073,157,180,489
  5. Step 5: Solve for x
    x = 1,073,157,180,489/762,765
  6. Step 6: Final answer
    x = 1,406,930.29

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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.