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Finding the Third Proportional to 857,052 and 1,882,224

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Solution

The third proportional to 857,052 and 1,882,224 is: 4,133,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,052 : 1,882,224 = 1,882,224 : x
  2. Step 2: Convert to fraction form
    857,052/1,882,224 = 1,882,224/x
  3. Step 3: Cross multiply
    857,052x = 1,882,224 × 1,882,224
  4. Step 4: Simplify right side
    857,052x = 3,542,767,186,176
  5. Step 5: Solve for x
    x = 3,542,767,186,176/857,052
  6. Step 6: Final answer
    x = 4,133,666.55

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.