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Finding the Third Proportional to 665,826 and 1,043,364

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Solution

The third proportional to 665,826 and 1,043,364 is: 1,634,974.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,826 : 1,043,364 = 1,043,364 : x
  2. Step 2: Convert to fraction form
    665,826/1,043,364 = 1,043,364/x
  3. Step 3: Cross multiply
    665,826x = 1,043,364 × 1,043,364
  4. Step 4: Simplify right side
    665,826x = 1,088,608,436,496
  5. Step 5: Solve for x
    x = 1,088,608,436,496/665,826
  6. Step 6: Final answer
    x = 1,634,974.36

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.