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Finding the Third Proportional to 660,132 and 1,443,912

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Solution

The third proportional to 660,132 and 1,443,912 is: 3,158,280.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,132 : 1,443,912 = 1,443,912 : x
  2. Step 2: Convert to fraction form
    660,132/1,443,912 = 1,443,912/x
  3. Step 3: Cross multiply
    660,132x = 1,443,912 × 1,443,912
  4. Step 4: Simplify right side
    660,132x = 2,084,881,863,744
  5. Step 5: Solve for x
    x = 2,084,881,863,744/660,132
  6. Step 6: Final answer
    x = 3,158,280.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.