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Finding the Third Proportional to 532,419 and 1,163,091

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Solution

The third proportional to 532,419 and 1,163,091 is: 2,540,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,419 : 1,163,091 = 1,163,091 : x
  2. Step 2: Convert to fraction form
    532,419/1,163,091 = 1,163,091/x
  3. Step 3: Cross multiply
    532,419x = 1,163,091 × 1,163,091
  4. Step 4: Simplify right side
    532,419x = 1,352,780,674,281
  5. Step 5: Solve for x
    x = 1,352,780,674,281/532,419
  6. Step 6: Final answer
    x = 2,540,819.68

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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.