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Finding the Third Proportional to 781,113 and 1,624,419

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Solution

The third proportional to 781,113 and 1,624,419 is: 3,378,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,113 : 1,624,419 = 1,624,419 : x
  2. Step 2: Convert to fraction form
    781,113/1,624,419 = 1,624,419/x
  3. Step 3: Cross multiply
    781,113x = 1,624,419 × 1,624,419
  4. Step 4: Simplify right side
    781,113x = 2,638,737,087,561
  5. Step 5: Solve for x
    x = 2,638,737,087,561/781,113
  6. Step 6: Final answer
    x = 3,378,175.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.