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Finding the Third Proportional to 857,804 and 1,856,827

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Solution

The third proportional to 857,804 and 1,856,827 is: 4,019,340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,804 : 1,856,827 = 1,856,827 : x
  2. Step 2: Convert to fraction form
    857,804/1,856,827 = 1,856,827/x
  3. Step 3: Cross multiply
    857,804x = 1,856,827 × 1,856,827
  4. Step 4: Simplify right side
    857,804x = 3,447,806,507,929
  5. Step 5: Solve for x
    x = 3,447,806,507,929/857,804
  6. Step 6: Final answer
    x = 4,019,340.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.