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Finding the Third Proportional to 523,824 and 1,143,604

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Solution

The third proportional to 523,824 and 1,143,604 is: 2,496,697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,824 : 1,143,604 = 1,143,604 : x
  2. Step 2: Convert to fraction form
    523,824/1,143,604 = 1,143,604/x
  3. Step 3: Cross multiply
    523,824x = 1,143,604 × 1,143,604
  4. Step 4: Simplify right side
    523,824x = 1,307,830,108,816
  5. Step 5: Solve for x
    x = 1,307,830,108,816/523,824
  6. Step 6: Final answer
    x = 2,496,697.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.