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Finding the Third Proportional to 2,255,486.63 and 5,262,984

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Solution

The third proportional to 2,255,486.63 and 5,262,984 is: 12,280,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255,486.63 : 5,262,984 = 5,262,984 : x
  2. Step 2: Convert to fraction form
    2,255,486.63/5,262,984 = 5,262,984/x
  3. Step 3: Cross multiply
    2,255,486.63x = 5,262,984 × 5,262,984
  4. Step 4: Simplify right side
    2,255,486.63x = 27,699,000,584,256
  5. Step 5: Solve for x
    x = 27,699,000,584,256/2,255,486.63
  6. Step 6: Final answer
    x = 12,280,720.39

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.