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Finding the Third Proportional to 632,403 and 1,370,619

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Solution

The third proportional to 632,403 and 1,370,619 is: 2,970,568.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,403 : 1,370,619 = 1,370,619 : x
  2. Step 2: Convert to fraction form
    632,403/1,370,619 = 1,370,619/x
  3. Step 3: Cross multiply
    632,403x = 1,370,619 × 1,370,619
  4. Step 4: Simplify right side
    632,403x = 1,878,596,443,161
  5. Step 5: Solve for x
    x = 1,878,596,443,161/632,403
  6. Step 6: Final answer
    x = 2,970,568.52

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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.