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Finding the Third Proportional to 441,071 and 956,824

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Solution

The third proportional to 441,071 and 956,824 is: 2,075,657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,071 : 956,824 = 956,824 : x
  2. Step 2: Convert to fraction form
    441,071/956,824 = 956,824/x
  3. Step 3: Cross multiply
    441,071x = 956,824 × 956,824
  4. Step 4: Simplify right side
    441,071x = 915,512,166,976
  5. Step 5: Solve for x
    x = 915,512,166,976/441,071
  6. Step 6: Final answer
    x = 2,075,657.13

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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.