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Finding the Third Proportional to 692,478 and 1,043,274

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Solution

The third proportional to 692,478 and 1,043,274 is: 1,571,776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,478 : 1,043,274 = 1,043,274 : x
  2. Step 2: Convert to fraction form
    692,478/1,043,274 = 1,043,274/x
  3. Step 3: Cross multiply
    692,478x = 1,043,274 × 1,043,274
  4. Step 4: Simplify right side
    692,478x = 1,088,420,639,076
  5. Step 5: Solve for x
    x = 1,088,420,639,076/692,478
  6. Step 6: Final answer
    x = 1,571,776.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.