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Finding the Third Proportional to 532,416 and 1,163,085

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Solution

The third proportional to 532,416 and 1,163,085 is: 2,540,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,416 : 1,163,085 = 1,163,085 : x
  2. Step 2: Convert to fraction form
    532,416/1,163,085 = 1,163,085/x
  3. Step 3: Cross multiply
    532,416x = 1,163,085 × 1,163,085
  4. Step 4: Simplify right side
    532,416x = 1,352,766,717,225
  5. Step 5: Solve for x
    x = 1,352,766,717,225/532,416
  6. Step 6: Final answer
    x = 2,540,807.78

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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.