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Finding the Third Proportional to 474,410 and 1,021,356

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Solution

The third proportional to 474,410 and 1,021,356 is: 2,198,874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,410 : 1,021,356 = 1,021,356 : x
  2. Step 2: Convert to fraction form
    474,410/1,021,356 = 1,021,356/x
  3. Step 3: Cross multiply
    474,410x = 1,021,356 × 1,021,356
  4. Step 4: Simplify right side
    474,410x = 1,043,168,078,736
  5. Step 5: Solve for x
    x = 1,043,168,078,736/474,410
  6. Step 6: Final answer
    x = 2,198,874.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.