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Finding the Third Proportional to 712,396,058 and 1,089,780,501

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Solution

The third proportional to 712,396,058 and 1,089,780,501 is: 1,667,080,449.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,396,058 : 1,089,780,501 = 1,089,780,501 : x
  2. Step 2: Convert to fraction form
    712,396,058/1,089,780,501 = 1,089,780,501/x
  3. Step 3: Cross multiply
    712,396,058x = 1,089,780,501 × 1,089,780,501
  4. Step 4: Simplify right side
    712,396,058x = 1,187,621,540,359,811,072
  5. Step 5: Solve for x
    x = 1,187,621,540,359,811,072/712,396,058
  6. Step 6: Final answer
    x = 1,667,080,449.17

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Why These Related Problems?

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