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Finding the Third Proportional to 945,765 and 1,505,629

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Solution

The third proportional to 945,765 and 1,505,629 is: 2,396,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,765 : 1,505,629 = 1,505,629 : x
  2. Step 2: Convert to fraction form
    945,765/1,505,629 = 1,505,629/x
  3. Step 3: Cross multiply
    945,765x = 1,505,629 × 1,505,629
  4. Step 4: Simplify right side
    945,765x = 2,266,918,685,641
  5. Step 5: Solve for x
    x = 2,266,918,685,641/945,765
  6. Step 6: Final answer
    x = 2,396,915.39

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Why These Related Problems?

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