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Finding the Third Proportional to 776,064 and 1,159,317

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Solution

The third proportional to 776,064 and 1,159,317 is: 1,731,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,064 : 1,159,317 = 1,159,317 : x
  2. Step 2: Convert to fraction form
    776,064/1,159,317 = 1,159,317/x
  3. Step 3: Cross multiply
    776,064x = 1,159,317 × 1,159,317
  4. Step 4: Simplify right side
    776,064x = 1,344,015,906,489
  5. Step 5: Solve for x
    x = 1,344,015,906,489/776,064
  6. Step 6: Final answer
    x = 1,731,836.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.