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Finding the Third Proportional to 532,364 and 1,142,616

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Solution

The third proportional to 532,364 and 1,142,616 is: 2,452,403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,364 : 1,142,616 = 1,142,616 : x
  2. Step 2: Convert to fraction form
    532,364/1,142,616 = 1,142,616/x
  3. Step 3: Cross multiply
    532,364x = 1,142,616 × 1,142,616
  4. Step 4: Simplify right side
    532,364x = 1,305,571,323,456
  5. Step 5: Solve for x
    x = 1,305,571,323,456/532,364
  6. Step 6: Final answer
    x = 2,452,403.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.