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Finding the Third Proportional to 1,027,188 and 2,085,480

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Solution

The third proportional to 1,027,188 and 2,085,480 is: 4,234,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,188 : 2,085,480 = 2,085,480 : x
  2. Step 2: Convert to fraction form
    1,027,188/2,085,480 = 2,085,480/x
  3. Step 3: Cross multiply
    1,027,188x = 2,085,480 × 2,085,480
  4. Step 4: Simplify right side
    1,027,188x = 4,349,226,830,400
  5. Step 5: Solve for x
    x = 4,349,226,830,400/1,027,188
  6. Step 6: Final answer
    x = 4,234,109.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.