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Finding the Third Proportional to 433,798,112 and 660,861,615

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Solution

The third proportional to 433,798,112 and 660,861,615 is: 1,006,777,259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,798,112 : 660,861,615 = 660,861,615 : x
  2. Step 2: Convert to fraction form
    433,798,112/660,861,615 = 660,861,615/x
  3. Step 3: Cross multiply
    433,798,112x = 660,861,615 × 660,861,615
  4. Step 4: Simplify right side
    433,798,112x = 436,738,074,180,408,256
  5. Step 5: Solve for x
    x = 436,738,074,180,408,256/433,798,112
  6. Step 6: Final answer
    x = 1,006,777,259.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.