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Finding the Third Proportional to 738,927 and 1,588,360

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Solution

The third proportional to 738,927 and 1,588,360 is: 3,414,258.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,927 : 1,588,360 = 1,588,360 : x
  2. Step 2: Convert to fraction form
    738,927/1,588,360 = 1,588,360/x
  3. Step 3: Cross multiply
    738,927x = 1,588,360 × 1,588,360
  4. Step 4: Simplify right side
    738,927x = 2,522,887,489,600
  5. Step 5: Solve for x
    x = 2,522,887,489,600/738,927
  6. Step 6: Final answer
    x = 3,414,258.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.