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Finding the Third Proportional to 537,815 and 1,173,451

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Solution

The third proportional to 537,815 and 1,173,451 is: 2,560,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,815 : 1,173,451 = 1,173,451 : x
  2. Step 2: Convert to fraction form
    537,815/1,173,451 = 1,173,451/x
  3. Step 3: Cross multiply
    537,815x = 1,173,451 × 1,173,451
  4. Step 4: Simplify right side
    537,815x = 1,376,987,249,401
  5. Step 5: Solve for x
    x = 1,376,987,249,401/537,815
  6. Step 6: Final answer
    x = 2,560,336.27

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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.