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Finding the Third Proportional to 809,870 and 1,772,284

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Solution

The third proportional to 809,870 and 1,772,284 is: 3,878,388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,870 : 1,772,284 = 1,772,284 : x
  2. Step 2: Convert to fraction form
    809,870/1,772,284 = 1,772,284/x
  3. Step 3: Cross multiply
    809,870x = 1,772,284 × 1,772,284
  4. Step 4: Simplify right side
    809,870x = 3,140,990,576,656
  5. Step 5: Solve for x
    x = 3,140,990,576,656/809,870
  6. Step 6: Final answer
    x = 3,878,388.60

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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.