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Finding the Third Proportional to 809,901 and 1,772,352

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Solution

The third proportional to 809,901 and 1,772,352 is: 3,878,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,901 : 1,772,352 = 1,772,352 : x
  2. Step 2: Convert to fraction form
    809,901/1,772,352 = 1,772,352/x
  3. Step 3: Cross multiply
    809,901x = 1,772,352 × 1,772,352
  4. Step 4: Simplify right side
    809,901x = 3,141,231,611,904
  5. Step 5: Solve for x
    x = 3,141,231,611,904/809,901
  6. Step 6: Final answer
    x = 3,878,537.76

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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.