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Finding the Third Proportional to 554,911 and 830,847

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Solution

The third proportional to 554,911 and 830,847 is: 1,243,995.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,911 : 830,847 = 830,847 : x
  2. Step 2: Convert to fraction form
    554,911/830,847 = 830,847/x
  3. Step 3: Cross multiply
    554,911x = 830,847 × 830,847
  4. Step 4: Simplify right side
    554,911x = 690,306,737,409
  5. Step 5: Solve for x
    x = 690,306,737,409/554,911
  6. Step 6: Final answer
    x = 1,243,995.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.