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Finding the Third Proportional to 945,042 and 1,452,563

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Solution

The third proportional to 945,042 and 1,452,563 is: 2,232,640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,042 : 1,452,563 = 1,452,563 : x
  2. Step 2: Convert to fraction form
    945,042/1,452,563 = 1,452,563/x
  3. Step 3: Cross multiply
    945,042x = 1,452,563 × 1,452,563
  4. Step 4: Simplify right side
    945,042x = 2,109,939,268,969
  5. Step 5: Solve for x
    x = 2,109,939,268,969/945,042
  6. Step 6: Final answer
    x = 2,232,640.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.