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Finding the Third Proportional to 817,089,858 and 1,222,739,811

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Solution

The third proportional to 817,089,858 and 1,222,739,811 is: 1,829,777,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,089,858 : 1,222,739,811 = 1,222,739,811 : x
  2. Step 2: Convert to fraction form
    817,089,858/1,222,739,811 = 1,222,739,811/x
  3. Step 3: Cross multiply
    817,089,858x = 1,222,739,811 × 1,222,739,811
  4. Step 4: Simplify right side
    817,089,858x = 1,495,092,645,404,315,648
  5. Step 5: Solve for x
    x = 1,495,092,645,404,315,648/817,089,858
  6. Step 6: Final answer
    x = 1,829,777,509.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.