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Finding the Third Proportional to 945,773 and 1,505,641

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Solution

The third proportional to 945,773 and 1,505,641 is: 2,396,933.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,773 : 1,505,641 = 1,505,641 : x
  2. Step 2: Convert to fraction form
    945,773/1,505,641 = 1,505,641/x
  3. Step 3: Cross multiply
    945,773x = 1,505,641 × 1,505,641
  4. Step 4: Simplify right side
    945,773x = 2,266,954,820,881
  5. Step 5: Solve for x
    x = 2,266,954,820,881/945,773
  6. Step 6: Final answer
    x = 2,396,933.32

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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.