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Finding the Third Proportional to 629,092 and 1,346,346

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Solution

The third proportional to 629,092 and 1,346,346 is: 2,881,371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,092 : 1,346,346 = 1,346,346 : x
  2. Step 2: Convert to fraction form
    629,092/1,346,346 = 1,346,346/x
  3. Step 3: Cross multiply
    629,092x = 1,346,346 × 1,346,346
  4. Step 4: Simplify right side
    629,092x = 1,812,647,551,716
  5. Step 5: Solve for x
    x = 1,812,647,551,716/629,092
  6. Step 6: Final answer
    x = 2,881,371.17

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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.