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Finding the Third Proportional to 2,296,869 and 3,525,604.50

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Solution

The third proportional to 2,296,869 and 3,525,604.50 is: 5,411,665.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296,869 : 3,525,604.50 = 3,525,604.50 : x
  2. Step 2: Convert to fraction form
    2,296,869/3,525,604.50 = 3,525,604.50/x
  3. Step 3: Cross multiply
    2,296,869x = 3,525,604.50 × 3,525,604.50
  4. Step 4: Simplify right side
    2,296,869x = 12,429,887,090,420.25
  5. Step 5: Solve for x
    x = 12,429,887,090,420.25/2,296,869
  6. Step 6: Final answer
    x = 5,411,665.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.