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Finding the Third Proportional to 458,760 and 1,079,368

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Solution

The third proportional to 458,760 and 1,079,368 is: 2,539,531.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,760 : 1,079,368 = 1,079,368 : x
  2. Step 2: Convert to fraction form
    458,760/1,079,368 = 1,079,368/x
  3. Step 3: Cross multiply
    458,760x = 1,079,368 × 1,079,368
  4. Step 4: Simplify right side
    458,760x = 1,165,035,279,424
  5. Step 5: Solve for x
    x = 1,165,035,279,424/458,760
  6. Step 6: Final answer
    x = 2,539,531.08

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.