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Finding the Third Proportional to 673,216 and 1,451,408

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Solution

The third proportional to 673,216 and 1,451,408 is: 3,129,137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,216 : 1,451,408 = 1,451,408 : x
  2. Step 2: Convert to fraction form
    673,216/1,451,408 = 1,451,408/x
  3. Step 3: Cross multiply
    673,216x = 1,451,408 × 1,451,408
  4. Step 4: Simplify right side
    673,216x = 2,106,585,182,464
  5. Step 5: Solve for x
    x = 2,106,585,182,464/673,216
  6. Step 6: Final answer
    x = 3,129,137.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.