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Finding the Third Proportional to 474,358.78 and 1,037,192.34

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Solution

The third proportional to 474,358.78 and 1,037,192.34 is: 2,267,836.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,358.78 : 1,037,192.34 = 1,037,192.34 : x
  2. Step 2: Convert to fraction form
    474,358.78/1,037,192.34 = 1,037,192.34/x
  3. Step 3: Cross multiply
    474,358.78x = 1,037,192.34 × 1,037,192.34
  4. Step 4: Simplify right side
    474,358.78x = 1,075,767,957,933.62
  5. Step 5: Solve for x
    x = 1,075,767,957,933.62/474,358.78
  6. Step 6: Final answer
    x = 2,267,836.08

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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.