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Finding the Third Proportional to 446,032 and 962,048

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Solution

The third proportional to 446,032 and 962,048 is: 2,075,044.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,032 : 962,048 = 962,048 : x
  2. Step 2: Convert to fraction form
    446,032/962,048 = 962,048/x
  3. Step 3: Cross multiply
    446,032x = 962,048 × 962,048
  4. Step 4: Simplify right side
    446,032x = 925,536,354,304
  5. Step 5: Solve for x
    x = 925,536,354,304/446,032
  6. Step 6: Final answer
    x = 2,075,044.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.