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Finding the Third Proportional to 945,284 and 1,452,963

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Solution

The third proportional to 945,284 and 1,452,963 is: 2,233,298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,284 : 1,452,963 = 1,452,963 : x
  2. Step 2: Convert to fraction form
    945,284/1,452,963 = 1,452,963/x
  3. Step 3: Cross multiply
    945,284x = 1,452,963 × 1,452,963
  4. Step 4: Simplify right side
    945,284x = 2,111,101,479,369
  5. Step 5: Solve for x
    x = 2,111,101,479,369/945,284
  6. Step 6: Final answer
    x = 2,233,298.65

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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.