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Finding the Third Proportional to 474,122 and 1,119,209

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Solution

The third proportional to 474,122 and 1,119,209 is: 2,641,996.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,122 : 1,119,209 = 1,119,209 : x
  2. Step 2: Convert to fraction form
    474,122/1,119,209 = 1,119,209/x
  3. Step 3: Cross multiply
    474,122x = 1,119,209 × 1,119,209
  4. Step 4: Simplify right side
    474,122x = 1,252,628,785,681
  5. Step 5: Solve for x
    x = 1,252,628,785,681/474,122
  6. Step 6: Final answer
    x = 2,641,996.76

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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.