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Finding the Third Proportional to 766,429 and 1,612,256

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Solution

The third proportional to 766,429 and 1,612,256 is: 3,391,533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,429 : 1,612,256 = 1,612,256 : x
  2. Step 2: Convert to fraction form
    766,429/1,612,256 = 1,612,256/x
  3. Step 3: Cross multiply
    766,429x = 1,612,256 × 1,612,256
  4. Step 4: Simplify right side
    766,429x = 2,599,369,409,536
  5. Step 5: Solve for x
    x = 2,599,369,409,536/766,429
  6. Step 6: Final answer
    x = 3,391,533.21

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.