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Finding the Third Proportional to 673,430 and 1,453,686

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Solution

The third proportional to 673,430 and 1,453,686 is: 3,137,969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,430 : 1,453,686 = 1,453,686 : x
  2. Step 2: Convert to fraction form
    673,430/1,453,686 = 1,453,686/x
  3. Step 3: Cross multiply
    673,430x = 1,453,686 × 1,453,686
  4. Step 4: Simplify right side
    673,430x = 2,113,202,986,596
  5. Step 5: Solve for x
    x = 2,113,202,986,596/673,430
  6. Step 6: Final answer
    x = 3,137,969.78

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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.