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Finding the Third Proportional to 1,967,487 and 2,894,968.50

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Solution

The third proportional to 1,967,487 and 2,894,968.50 is: 4,259,668.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967,487 : 2,894,968.50 = 2,894,968.50 : x
  2. Step 2: Convert to fraction form
    1,967,487/2,894,968.50 = 2,894,968.50/x
  3. Step 3: Cross multiply
    1,967,487x = 2,894,968.50 × 2,894,968.50
  4. Step 4: Simplify right side
    1,967,487x = 8,380,842,615,992.25
  5. Step 5: Solve for x
    x = 8,380,842,615,992.25/1,967,487
  6. Step 6: Final answer
    x = 4,259,668.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.