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Finding the Third Proportional to 2,893,374 and 6,185,349

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Solution

The third proportional to 2,893,374 and 6,185,349 is: 13,222,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893,374 : 6,185,349 = 6,185,349 : x
  2. Step 2: Convert to fraction form
    2,893,374/6,185,349 = 6,185,349/x
  3. Step 3: Cross multiply
    2,893,374x = 6,185,349 × 6,185,349
  4. Step 4: Simplify right side
    2,893,374x = 38,258,542,251,801
  5. Step 5: Solve for x
    x = 38,258,542,251,801/2,893,374
  6. Step 6: Final answer
    x = 13,222,812.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.