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Finding the Third Proportional to 673,340 and 1,441,264

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Solution

The third proportional to 673,340 and 1,441,264 is: 3,084,982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,340 : 1,441,264 = 1,441,264 : x
  2. Step 2: Convert to fraction form
    673,340/1,441,264 = 1,441,264/x
  3. Step 3: Cross multiply
    673,340x = 1,441,264 × 1,441,264
  4. Step 4: Simplify right side
    673,340x = 2,077,241,917,696
  5. Step 5: Solve for x
    x = 2,077,241,917,696/673,340
  6. Step 6: Final answer
    x = 3,084,982.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.