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Finding the Third Proportional to 441,040 and 956,768

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Solution

The third proportional to 441,040 and 956,768 is: 2,075,560.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,040 : 956,768 = 956,768 : x
  2. Step 2: Convert to fraction form
    441,040/956,768 = 956,768/x
  3. Step 3: Cross multiply
    441,040x = 956,768 × 956,768
  4. Step 4: Simplify right side
    441,040x = 915,405,005,824
  5. Step 5: Solve for x
    x = 915,405,005,824/441,040
  6. Step 6: Final answer
    x = 2,075,560.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.