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Finding the Third Proportional to 472,968 and 1,050,912

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Solution

The third proportional to 472,968 and 1,050,912 is: 2,335,075.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,968 : 1,050,912 = 1,050,912 : x
  2. Step 2: Convert to fraction form
    472,968/1,050,912 = 1,050,912/x
  3. Step 3: Cross multiply
    472,968x = 1,050,912 × 1,050,912
  4. Step 4: Simplify right side
    472,968x = 1,104,416,031,744
  5. Step 5: Solve for x
    x = 1,104,416,031,744/472,968
  6. Step 6: Final answer
    x = 2,335,075.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.