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Finding the Third Proportional to 632,405 and 1,370,623

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Solution

The third proportional to 632,405 and 1,370,623 is: 2,970,576.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,405 : 1,370,623 = 1,370,623 : x
  2. Step 2: Convert to fraction form
    632,405/1,370,623 = 1,370,623/x
  3. Step 3: Cross multiply
    632,405x = 1,370,623 × 1,370,623
  4. Step 4: Simplify right side
    632,405x = 1,878,607,408,129
  5. Step 5: Solve for x
    x = 1,878,607,408,129/632,405
  6. Step 6: Final answer
    x = 2,970,576.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.