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Finding the Third Proportional to 583,838 and 1,263,632

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Solution

The third proportional to 583,838 and 1,263,632 is: 2,734,946.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,838 : 1,263,632 = 1,263,632 : x
  2. Step 2: Convert to fraction form
    583,838/1,263,632 = 1,263,632/x
  3. Step 3: Cross multiply
    583,838x = 1,263,632 × 1,263,632
  4. Step 4: Simplify right side
    583,838x = 1,596,765,831,424
  5. Step 5: Solve for x
    x = 1,596,765,831,424/583,838
  6. Step 6: Final answer
    x = 2,734,946.73

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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.