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Finding the Third Proportional to 612,368 and 952,086

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Solution

The third proportional to 612,368 and 952,086 is: 1,480,266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,368 : 952,086 = 952,086 : x
  2. Step 2: Convert to fraction form
    612,368/952,086 = 952,086/x
  3. Step 3: Cross multiply
    612,368x = 952,086 × 952,086
  4. Step 4: Simplify right side
    612,368x = 906,467,751,396
  5. Step 5: Solve for x
    x = 906,467,751,396/612,368
  6. Step 6: Final answer
    x = 1,480,266.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.