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Finding the Third Proportional to 809,818 and 1,772,180

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Solution

The third proportional to 809,818 and 1,772,180 is: 3,878,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,818 : 1,772,180 = 1,772,180 : x
  2. Step 2: Convert to fraction form
    809,818/1,772,180 = 1,772,180/x
  3. Step 3: Cross multiply
    809,818x = 1,772,180 × 1,772,180
  4. Step 4: Simplify right side
    809,818x = 3,140,621,952,400
  5. Step 5: Solve for x
    x = 3,140,621,952,400/809,818
  6. Step 6: Final answer
    x = 3,878,182.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.