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Finding the Third Proportional to 945,767 and 1,505,630

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Solution

The third proportional to 945,767 and 1,505,630 is: 2,396,913.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,767 : 1,505,630 = 1,505,630 : x
  2. Step 2: Convert to fraction form
    945,767/1,505,630 = 1,505,630/x
  3. Step 3: Cross multiply
    945,767x = 1,505,630 × 1,505,630
  4. Step 4: Simplify right side
    945,767x = 2,266,921,696,900
  5. Step 5: Solve for x
    x = 2,266,921,696,900/945,767
  6. Step 6: Final answer
    x = 2,396,913.51

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.