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Finding the Third Proportional to 639,465 and 1,362,640

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Solution

The third proportional to 639,465 and 1,362,640 is: 2,903,658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,465 : 1,362,640 = 1,362,640 : x
  2. Step 2: Convert to fraction form
    639,465/1,362,640 = 1,362,640/x
  3. Step 3: Cross multiply
    639,465x = 1,362,640 × 1,362,640
  4. Step 4: Simplify right side
    639,465x = 1,856,787,769,600
  5. Step 5: Solve for x
    x = 1,856,787,769,600/639,465
  6. Step 6: Final answer
    x = 2,903,658.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.