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Finding the Third Proportional to 673,396 and 1,453,614

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Solution

The third proportional to 673,396 and 1,453,614 is: 3,137,817.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,396 : 1,453,614 = 1,453,614 : x
  2. Step 2: Convert to fraction form
    673,396/1,453,614 = 1,453,614/x
  3. Step 3: Cross multiply
    673,396x = 1,453,614 × 1,453,614
  4. Step 4: Simplify right side
    673,396x = 2,112,993,660,996
  5. Step 5: Solve for x
    x = 2,112,993,660,996/673,396
  6. Step 6: Final answer
    x = 3,137,817.36

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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.