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Finding the Third Proportional to 857,760 and 1,833,318

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Solution

The third proportional to 857,760 and 1,833,318 is: 3,918,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,760 : 1,833,318 = 1,833,318 : x
  2. Step 2: Convert to fraction form
    857,760/1,833,318 = 1,833,318/x
  3. Step 3: Cross multiply
    857,760x = 1,833,318 × 1,833,318
  4. Step 4: Simplify right side
    857,760x = 3,361,054,889,124
  5. Step 5: Solve for x
    x = 3,361,054,889,124/857,760
  6. Step 6: Final answer
    x = 3,918,409.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.