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Finding the Third Proportional to 712,395,434 and 1,089,780,327

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Solution

The third proportional to 712,395,434 and 1,089,780,327 is: 1,667,081,377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,395,434 : 1,089,780,327 = 1,089,780,327 : x
  2. Step 2: Convert to fraction form
    712,395,434/1,089,780,327 = 1,089,780,327/x
  3. Step 3: Cross multiply
    712,395,434x = 1,089,780,327 × 1,089,780,327
  4. Step 4: Simplify right side
    712,395,434x = 1,187,621,161,116,226,816
  5. Step 5: Solve for x
    x = 1,187,621,161,116,226,816/712,395,434
  6. Step 6: Final answer
    x = 1,667,081,377.05

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.