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Finding the Third Proportional to 540,848 and 841,836

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Solution

The third proportional to 540,848 and 841,836 is: 1,310,327.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,848 : 841,836 = 841,836 : x
  2. Step 2: Convert to fraction form
    540,848/841,836 = 841,836/x
  3. Step 3: Cross multiply
    540,848x = 841,836 × 841,836
  4. Step 4: Simplify right side
    540,848x = 708,687,850,896
  5. Step 5: Solve for x
    x = 708,687,850,896/540,848
  6. Step 6: Final answer
    x = 1,310,327.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.