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Finding the Third Proportional to 1,280,727 and 1,929,504

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Solution

The third proportional to 1,280,727 and 1,929,504 is: 2,906,931.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,727 : 1,929,504 = 1,929,504 : x
  2. Step 2: Convert to fraction form
    1,280,727/1,929,504 = 1,929,504/x
  3. Step 3: Cross multiply
    1,280,727x = 1,929,504 × 1,929,504
  4. Step 4: Simplify right side
    1,280,727x = 3,722,985,686,016
  5. Step 5: Solve for x
    x = 3,722,985,686,016/1,280,727
  6. Step 6: Final answer
    x = 2,906,931.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.