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Finding the Third Proportional to 944,091 and 1,423,971

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Solution

The third proportional to 944,091 and 1,423,971 is: 2,147,773.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,091 : 1,423,971 = 1,423,971 : x
  2. Step 2: Convert to fraction form
    944,091/1,423,971 = 1,423,971/x
  3. Step 3: Cross multiply
    944,091x = 1,423,971 × 1,423,971
  4. Step 4: Simplify right side
    944,091x = 2,027,693,408,841
  5. Step 5: Solve for x
    x = 2,027,693,408,841/944,091
  6. Step 6: Final answer
    x = 2,147,773.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.