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Finding the Third Proportional to 703,971 and 1,055,979

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Solution

The third proportional to 703,971 and 1,055,979 is: 1,584,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,971 : 1,055,979 = 1,055,979 : x
  2. Step 2: Convert to fraction form
    703,971/1,055,979 = 1,055,979/x
  3. Step 3: Cross multiply
    703,971x = 1,055,979 × 1,055,979
  4. Step 4: Simplify right side
    703,971x = 1,115,091,648,441
  5. Step 5: Solve for x
    x = 1,115,091,648,441/703,971
  6. Step 6: Final answer
    x = 1,584,002.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.