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Finding the Third Proportional to 675,375 and 1,441,146

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Solution

The third proportional to 675,375 and 1,441,146 is: 3,075,183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,375 : 1,441,146 = 1,441,146 : x
  2. Step 2: Convert to fraction form
    675,375/1,441,146 = 1,441,146/x
  3. Step 3: Cross multiply
    675,375x = 1,441,146 × 1,441,146
  4. Step 4: Simplify right side
    675,375x = 2,076,901,793,316
  5. Step 5: Solve for x
    x = 2,076,901,793,316/675,375
  6. Step 6: Final answer
    x = 3,075,183.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.