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Finding the Third Proportional to 943,520 and 1,411,824

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Solution

The third proportional to 943,520 and 1,411,824 is: 2,112,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,520 : 1,411,824 = 1,411,824 : x
  2. Step 2: Convert to fraction form
    943,520/1,411,824 = 1,411,824/x
  3. Step 3: Cross multiply
    943,520x = 1,411,824 × 1,411,824
  4. Step 4: Simplify right side
    943,520x = 1,993,247,006,976
  5. Step 5: Solve for x
    x = 1,993,247,006,976/943,520
  6. Step 6: Final answer
    x = 2,112,564.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.