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Finding the Third Proportional to 474,178 and 1,119,285

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Solution

The third proportional to 474,178 and 1,119,285 is: 2,642,043.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,178 : 1,119,285 = 1,119,285 : x
  2. Step 2: Convert to fraction form
    474,178/1,119,285 = 1,119,285/x
  3. Step 3: Cross multiply
    474,178x = 1,119,285 × 1,119,285
  4. Step 4: Simplify right side
    474,178x = 1,252,798,911,225
  5. Step 5: Solve for x
    x = 1,252,798,911,225/474,178
  6. Step 6: Final answer
    x = 2,642,043.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.