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Finding the Third Proportional to 785,773 and 1,163,930

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Solution

The third proportional to 785,773 and 1,163,930 is: 1,724,076.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,773 : 1,163,930 = 1,163,930 : x
  2. Step 2: Convert to fraction form
    785,773/1,163,930 = 1,163,930/x
  3. Step 3: Cross multiply
    785,773x = 1,163,930 × 1,163,930
  4. Step 4: Simplify right side
    785,773x = 1,354,733,044,900
  5. Step 5: Solve for x
    x = 1,354,733,044,900/785,773
  6. Step 6: Final answer
    x = 1,724,076.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.