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Finding the Third Proportional to 629,154 and 1,358,420

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Solution

The third proportional to 629,154 and 1,358,420 is: 2,932,993.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,154 : 1,358,420 = 1,358,420 : x
  2. Step 2: Convert to fraction form
    629,154/1,358,420 = 1,358,420/x
  3. Step 3: Cross multiply
    629,154x = 1,358,420 × 1,358,420
  4. Step 4: Simplify right side
    629,154x = 1,845,304,896,400
  5. Step 5: Solve for x
    x = 1,845,304,896,400/629,154
  6. Step 6: Final answer
    x = 2,932,993.98

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Why These Related Problems?

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