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Finding the Third Proportional to 639,348 and 1,378,308

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Solution

The third proportional to 639,348 and 1,378,308 is: 2,971,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,348 : 1,378,308 = 1,378,308 : x
  2. Step 2: Convert to fraction form
    639,348/1,378,308 = 1,378,308/x
  3. Step 3: Cross multiply
    639,348x = 1,378,308 × 1,378,308
  4. Step 4: Simplify right side
    639,348x = 1,899,732,942,864
  5. Step 5: Solve for x
    x = 1,899,732,942,864/639,348
  6. Step 6: Final answer
    x = 2,971,359.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.