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Finding the Third Proportional to 699,920 and 1,446,498

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Solution

The third proportional to 699,920 and 1,446,498 is: 2,989,422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,920 : 1,446,498 = 1,446,498 : x
  2. Step 2: Convert to fraction form
    699,920/1,446,498 = 1,446,498/x
  3. Step 3: Cross multiply
    699,920x = 1,446,498 × 1,446,498
  4. Step 4: Simplify right side
    699,920x = 2,092,356,464,004
  5. Step 5: Solve for x
    x = 2,092,356,464,004/699,920
  6. Step 6: Final answer
    x = 2,989,422.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.