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Finding the Third Proportional to 673,413 and 1,453,653

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Solution

The third proportional to 673,413 and 1,453,653 is: 3,137,906.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,413 : 1,453,653 = 1,453,653 : x
  2. Step 2: Convert to fraction form
    673,413/1,453,653 = 1,453,653/x
  3. Step 3: Cross multiply
    673,413x = 1,453,653 × 1,453,653
  4. Step 4: Simplify right side
    673,413x = 2,113,107,044,409
  5. Step 5: Solve for x
    x = 2,113,107,044,409/673,413
  6. Step 6: Final answer
    x = 3,137,906.52

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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.