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Finding the Third Proportional to 551,057 and 851,139

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Solution

The third proportional to 551,057 and 851,139 is: 1,314,632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,057 : 851,139 = 851,139 : x
  2. Step 2: Convert to fraction form
    551,057/851,139 = 851,139/x
  3. Step 3: Cross multiply
    551,057x = 851,139 × 851,139
  4. Step 4: Simplify right side
    551,057x = 724,437,597,321
  5. Step 5: Solve for x
    x = 724,437,597,321/551,057
  6. Step 6: Final answer
    x = 1,314,632.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.