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Finding the Third Proportional to 475,980 and 1,037,256

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Solution

The third proportional to 475,980 and 1,037,256 is: 2,260,389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,980 : 1,037,256 = 1,037,256 : x
  2. Step 2: Convert to fraction form
    475,980/1,037,256 = 1,037,256/x
  3. Step 3: Cross multiply
    475,980x = 1,037,256 × 1,037,256
  4. Step 4: Simplify right side
    475,980x = 1,075,900,009,536
  5. Step 5: Solve for x
    x = 1,075,900,009,536/475,980
  6. Step 6: Final answer
    x = 2,260,389.11

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