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Finding the Third Proportional to 779,296 and 1,171,230

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Solution

The third proportional to 779,296 and 1,171,230 is: 1,760,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,296 : 1,171,230 = 1,171,230 : x
  2. Step 2: Convert to fraction form
    779,296/1,171,230 = 1,171,230/x
  3. Step 3: Cross multiply
    779,296x = 1,171,230 × 1,171,230
  4. Step 4: Simplify right side
    779,296x = 1,371,779,712,900
  5. Step 5: Solve for x
    x = 1,371,779,712,900/779,296
  6. Step 6: Final answer
    x = 1,760,280.71

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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.