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Finding the Third Proportional to 551,497 and 843,114

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Solution

The third proportional to 551,497 and 843,114 is: 1,288,930.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,497 : 843,114 = 843,114 : x
  2. Step 2: Convert to fraction form
    551,497/843,114 = 843,114/x
  3. Step 3: Cross multiply
    551,497x = 843,114 × 843,114
  4. Step 4: Simplify right side
    551,497x = 710,841,216,996
  5. Step 5: Solve for x
    x = 710,841,216,996/551,497
  6. Step 6: Final answer
    x = 1,288,930.34

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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.