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Finding the Third Proportional to 583,856 and 1,263,672

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Solution

The third proportional to 583,856 and 1,263,672 is: 2,735,035.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,856 : 1,263,672 = 1,263,672 : x
  2. Step 2: Convert to fraction form
    583,856/1,263,672 = 1,263,672/x
  3. Step 3: Cross multiply
    583,856x = 1,263,672 × 1,263,672
  4. Step 4: Simplify right side
    583,856x = 1,596,866,923,584
  5. Step 5: Solve for x
    x = 1,596,866,923,584/583,856
  6. Step 6: Final answer
    x = 2,735,035.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.