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Finding the Third Proportional to 766,404 and 1,176,390

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Solution

The third proportional to 766,404 and 1,176,390 is: 1,805,697.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,404 : 1,176,390 = 1,176,390 : x
  2. Step 2: Convert to fraction form
    766,404/1,176,390 = 1,176,390/x
  3. Step 3: Cross multiply
    766,404x = 1,176,390 × 1,176,390
  4. Step 4: Simplify right side
    766,404x = 1,383,893,432,100
  5. Step 5: Solve for x
    x = 1,383,893,432,100/766,404
  6. Step 6: Final answer
    x = 1,805,697.04

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.