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Finding the Third Proportional to 806,145 and 1,757,442

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Solution

The third proportional to 806,145 and 1,757,442 is: 3,831,323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,145 : 1,757,442 = 1,757,442 : x
  2. Step 2: Convert to fraction form
    806,145/1,757,442 = 1,757,442/x
  3. Step 3: Cross multiply
    806,145x = 1,757,442 × 1,757,442
  4. Step 4: Simplify right side
    806,145x = 3,088,602,383,364
  5. Step 5: Solve for x
    x = 3,088,602,383,364/806,145
  6. Step 6: Final answer
    x = 3,831,323.62

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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.