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Finding the Third Proportional to 596,170 and 901,963

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Solution

The third proportional to 596,170 and 901,963 is: 1,364,606.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,170 : 901,963 = 901,963 : x
  2. Step 2: Convert to fraction form
    596,170/901,963 = 901,963/x
  3. Step 3: Cross multiply
    596,170x = 901,963 × 901,963
  4. Step 4: Simplify right side
    596,170x = 813,537,253,369
  5. Step 5: Solve for x
    x = 813,537,253,369/596,170
  6. Step 6: Final answer
    x = 1,364,606.16

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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.