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Finding the Third Proportional to 646,240 and 1,380,447

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Solution

The third proportional to 646,240 and 1,380,447 is: 2,948,802.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,240 : 1,380,447 = 1,380,447 : x
  2. Step 2: Convert to fraction form
    646,240/1,380,447 = 1,380,447/x
  3. Step 3: Cross multiply
    646,240x = 1,380,447 × 1,380,447
  4. Step 4: Simplify right side
    646,240x = 1,905,633,919,809
  5. Step 5: Solve for x
    x = 1,905,633,919,809/646,240
  6. Step 6: Final answer
    x = 2,948,802.18

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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.