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Finding the Third Proportional to 532,656 and 1,163,565

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Solution

The third proportional to 532,656 and 1,163,565 is: 2,541,759.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,656 : 1,163,565 = 1,163,565 : x
  2. Step 2: Convert to fraction form
    532,656/1,163,565 = 1,163,565/x
  3. Step 3: Cross multiply
    532,656x = 1,163,565 × 1,163,565
  4. Step 4: Simplify right side
    532,656x = 1,353,883,509,225
  5. Step 5: Solve for x
    x = 1,353,883,509,225/532,656
  6. Step 6: Final answer
    x = 2,541,759.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.