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Finding the Third Proportional to 673,894 and 1,465,886

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Solution

The third proportional to 673,894 and 1,465,886 is: 3,188,664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,894 : 1,465,886 = 1,465,886 : x
  2. Step 2: Convert to fraction form
    673,894/1,465,886 = 1,465,886/x
  3. Step 3: Cross multiply
    673,894x = 1,465,886 × 1,465,886
  4. Step 4: Simplify right side
    673,894x = 2,148,821,764,996
  5. Step 5: Solve for x
    x = 2,148,821,764,996/673,894
  6. Step 6: Final answer
    x = 3,188,664.34

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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.