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Finding the Third Proportional to 703,032 and 1,658,904

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Solution

The third proportional to 703,032 and 1,658,904 is: 3,914,419.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,032 : 1,658,904 = 1,658,904 : x
  2. Step 2: Convert to fraction form
    703,032/1,658,904 = 1,658,904/x
  3. Step 3: Cross multiply
    703,032x = 1,658,904 × 1,658,904
  4. Step 4: Simplify right side
    703,032x = 2,751,962,481,216
  5. Step 5: Solve for x
    x = 2,751,962,481,216/703,032
  6. Step 6: Final answer
    x = 3,914,419.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.