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Finding the Third Proportional to 712,936 and 1,585,274

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Solution

The third proportional to 712,936 and 1,585,274 is: 3,524,991.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,936 : 1,585,274 = 1,585,274 : x
  2. Step 2: Convert to fraction form
    712,936/1,585,274 = 1,585,274/x
  3. Step 3: Cross multiply
    712,936x = 1,585,274 × 1,585,274
  4. Step 4: Simplify right side
    712,936x = 2,513,093,655,076
  5. Step 5: Solve for x
    x = 2,513,093,655,076/712,936
  6. Step 6: Final answer
    x = 3,524,991.94

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.