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Finding the Third Proportional to 467,088 and 1,027,488

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Solution

The third proportional to 467,088 and 1,027,488 is: 2,260,241.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,088 : 1,027,488 = 1,027,488 : x
  2. Step 2: Convert to fraction form
    467,088/1,027,488 = 1,027,488/x
  3. Step 3: Cross multiply
    467,088x = 1,027,488 × 1,027,488
  4. Step 4: Simplify right side
    467,088x = 1,055,731,590,144
  5. Step 5: Solve for x
    x = 1,055,731,590,144/467,088
  6. Step 6: Final answer
    x = 2,260,241.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.