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Finding the Third Proportional to 771,848 and 1,654,456

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Solution

The third proportional to 771,848 and 1,654,456 is: 3,546,326.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,848 : 1,654,456 = 1,654,456 : x
  2. Step 2: Convert to fraction form
    771,848/1,654,456 = 1,654,456/x
  3. Step 3: Cross multiply
    771,848x = 1,654,456 × 1,654,456
  4. Step 4: Simplify right side
    771,848x = 2,737,224,655,936
  5. Step 5: Solve for x
    x = 2,737,224,655,936/771,848
  6. Step 6: Final answer
    x = 3,546,326.03

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.