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Finding the Third Proportional to 806,139 and 1,757,430

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Solution

The third proportional to 806,139 and 1,757,430 is: 3,831,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,139 : 1,757,430 = 1,757,430 : x
  2. Step 2: Convert to fraction form
    806,139/1,757,430 = 1,757,430/x
  3. Step 3: Cross multiply
    806,139x = 1,757,430 × 1,757,430
  4. Step 4: Simplify right side
    806,139x = 3,088,560,204,900
  5. Step 5: Solve for x
    x = 3,088,560,204,900/806,139
  6. Step 6: Final answer
    x = 3,831,299.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.