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Finding the Third Proportional to 2,347,088 and 3,525,824

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Solution

The third proportional to 2,347,088 and 3,525,824 is: 5,296,535.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347,088 : 3,525,824 = 3,525,824 : x
  2. Step 2: Convert to fraction form
    2,347,088/3,525,824 = 3,525,824/x
  3. Step 3: Cross multiply
    2,347,088x = 3,525,824 × 3,525,824
  4. Step 4: Simplify right side
    2,347,088x = 12,431,434,878,976
  5. Step 5: Solve for x
    x = 12,431,434,878,976/2,347,088
  6. Step 6: Final answer
    x = 5,296,535.49

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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.