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Finding the Third Proportional to 596,116 and 901,878

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Solution

The third proportional to 596,116 and 901,878 is: 1,364,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,116 : 901,878 = 901,878 : x
  2. Step 2: Convert to fraction form
    596,116/901,878 = 901,878/x
  3. Step 3: Cross multiply
    596,116x = 901,878 × 901,878
  4. Step 4: Simplify right side
    596,116x = 813,383,926,884
  5. Step 5: Solve for x
    x = 813,383,926,884/596,116
  6. Step 6: Final answer
    x = 1,364,472.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.