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Finding the Third Proportional to 488,392 and 1,014,200

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Solution

The third proportional to 488,392 and 1,014,200 is: 2,106,098.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,392 : 1,014,200 = 1,014,200 : x
  2. Step 2: Convert to fraction form
    488,392/1,014,200 = 1,014,200/x
  3. Step 3: Cross multiply
    488,392x = 1,014,200 × 1,014,200
  4. Step 4: Simplify right side
    488,392x = 1,028,601,640,000
  5. Step 5: Solve for x
    x = 1,028,601,640,000/488,392
  6. Step 6: Final answer
    x = 2,106,098.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.