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Finding the Third Proportional to 712,236 and 1,681,302

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Solution

The third proportional to 712,236 and 1,681,302 is: 3,968,876.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,236 : 1,681,302 = 1,681,302 : x
  2. Step 2: Convert to fraction form
    712,236/1,681,302 = 1,681,302/x
  3. Step 3: Cross multiply
    712,236x = 1,681,302 × 1,681,302
  4. Step 4: Simplify right side
    712,236x = 2,826,776,415,204
  5. Step 5: Solve for x
    x = 2,826,776,415,204/712,236
  6. Step 6: Final answer
    x = 3,968,876.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.