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Finding the Third Proportional to 934,120 and 1,396,317

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Solution

The third proportional to 934,120 and 1,396,317 is: 2,087,206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,120 : 1,396,317 = 1,396,317 : x
  2. Step 2: Convert to fraction form
    934,120/1,396,317 = 1,396,317/x
  3. Step 3: Cross multiply
    934,120x = 1,396,317 × 1,396,317
  4. Step 4: Simplify right side
    934,120x = 1,949,701,164,489
  5. Step 5: Solve for x
    x = 1,949,701,164,489/934,120
  6. Step 6: Final answer
    x = 2,087,206.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.