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Finding the Third Proportional to 471,389,654 and 1,024,380,652

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Solution

The third proportional to 471,389,654 and 1,024,380,652 is: 2,226,089,841.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,389,654 : 1,024,380,652 = 1,024,380,652 : x
  2. Step 2: Convert to fraction form
    471,389,654/1,024,380,652 = 1,024,380,652/x
  3. Step 3: Cross multiply
    471,389,654x = 1,024,380,652 × 1,024,380,652
  4. Step 4: Simplify right side
    471,389,654x = 1,049,355,720,191,945,088
  5. Step 5: Solve for x
    x = 1,049,355,720,191,945,088/471,389,654
  6. Step 6: Final answer
    x = 2,226,089,841.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.