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Finding the Third Proportional to 857,971 and 1,295,749

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Solution

The third proportional to 857,971 and 1,295,749 is: 1,956,902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,971 : 1,295,749 = 1,295,749 : x
  2. Step 2: Convert to fraction form
    857,971/1,295,749 = 1,295,749/x
  3. Step 3: Cross multiply
    857,971x = 1,295,749 × 1,295,749
  4. Step 4: Simplify right side
    857,971x = 1,678,965,471,001
  5. Step 5: Solve for x
    x = 1,678,965,471,001/857,971
  6. Step 6: Final answer
    x = 1,956,902.36

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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.