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Finding the Third Proportional to 551,746 and 843,656

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Solution

The third proportional to 551,746 and 843,656 is: 1,290,005.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,746 : 843,656 = 843,656 : x
  2. Step 2: Convert to fraction form
    551,746/843,656 = 843,656/x
  3. Step 3: Cross multiply
    551,746x = 843,656 × 843,656
  4. Step 4: Simplify right side
    551,746x = 711,755,446,336
  5. Step 5: Solve for x
    x = 711,755,446,336/551,746
  6. Step 6: Final answer
    x = 1,290,005.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.