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Finding the Third Proportional to 474,362 and 1,037,212

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Solution

The third proportional to 474,362 and 1,037,212 is: 2,267,906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,362 : 1,037,212 = 1,037,212 : x
  2. Step 2: Convert to fraction form
    474,362/1,037,212 = 1,037,212/x
  3. Step 3: Cross multiply
    474,362x = 1,037,212 × 1,037,212
  4. Step 4: Simplify right side
    474,362x = 1,075,808,732,944
  5. Step 5: Solve for x
    x = 1,075,808,732,944/474,362
  6. Step 6: Final answer
    x = 2,267,906.65

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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.