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Finding the Third Proportional to 475,949 and 1,037,110

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Solution

The third proportional to 475,949 and 1,037,110 is: 2,259,900.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,949 : 1,037,110 = 1,037,110 : x
  2. Step 2: Convert to fraction form
    475,949/1,037,110 = 1,037,110/x
  3. Step 3: Cross multiply
    475,949x = 1,037,110 × 1,037,110
  4. Step 4: Simplify right side
    475,949x = 1,075,597,152,100
  5. Step 5: Solve for x
    x = 1,075,597,152,100/475,949
  6. Step 6: Final answer
    x = 2,259,900.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.