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Finding the Third Proportional to 786,253 and 1,178,147

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Solution

The third proportional to 786,253 and 1,178,147 is: 1,765,373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,253 : 1,178,147 = 1,178,147 : x
  2. Step 2: Convert to fraction form
    786,253/1,178,147 = 1,178,147/x
  3. Step 3: Cross multiply
    786,253x = 1,178,147 × 1,178,147
  4. Step 4: Simplify right side
    786,253x = 1,388,030,353,609
  5. Step 5: Solve for x
    x = 1,388,030,353,609/786,253
  6. Step 6: Final answer
    x = 1,765,373.68

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