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Finding the Third Proportional to 532,423 and 1,163,098

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Solution

The third proportional to 532,423 and 1,163,098 is: 2,540,831.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,423 : 1,163,098 = 1,163,098 : x
  2. Step 2: Convert to fraction form
    532,423/1,163,098 = 1,163,098/x
  3. Step 3: Cross multiply
    532,423x = 1,163,098 × 1,163,098
  4. Step 4: Simplify right side
    532,423x = 1,352,796,957,604
  5. Step 5: Solve for x
    x = 1,352,796,957,604/532,423
  6. Step 6: Final answer
    x = 2,540,831.18

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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.