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Finding the Third Proportional to 771,147 and 1,721,142

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Solution

The third proportional to 771,147 and 1,721,142 is: 3,841,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,147 : 1,721,142 = 1,721,142 : x
  2. Step 2: Convert to fraction form
    771,147/1,721,142 = 1,721,142/x
  3. Step 3: Cross multiply
    771,147x = 1,721,142 × 1,721,142
  4. Step 4: Simplify right side
    771,147x = 2,962,329,784,164
  5. Step 5: Solve for x
    x = 2,962,329,784,164/771,147
  6. Step 6: Final answer
    x = 3,841,459.26

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.