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Finding the Third Proportional to 474,194 and 1,036,909

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Solution

The third proportional to 474,194 and 1,036,909 is: 2,267,384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,194 : 1,036,909 = 1,036,909 : x
  2. Step 2: Convert to fraction form
    474,194/1,036,909 = 1,036,909/x
  3. Step 3: Cross multiply
    474,194x = 1,036,909 × 1,036,909
  4. Step 4: Simplify right side
    474,194x = 1,075,180,274,281
  5. Step 5: Solve for x
    x = 1,075,180,274,281/474,194
  6. Step 6: Final answer
    x = 2,267,384.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.