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Finding the Third Proportional to 959,620 and 1,382,406

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Solution

The third proportional to 959,620 and 1,382,406 is: 1,991,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,620 : 1,382,406 = 1,382,406 : x
  2. Step 2: Convert to fraction form
    959,620/1,382,406 = 1,382,406/x
  3. Step 3: Cross multiply
    959,620x = 1,382,406 × 1,382,406
  4. Step 4: Simplify right side
    959,620x = 1,911,046,348,836
  5. Step 5: Solve for x
    x = 1,911,046,348,836/959,620
  6. Step 6: Final answer
    x = 1,991,461.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.