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Finding the Third Proportional to 1,907,071.50 and 4,500,976.50

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Solution

The third proportional to 1,907,071.50 and 4,500,976.50 is: 10,622,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907,071.50 : 4,500,976.50 = 4,500,976.50 : x
  2. Step 2: Convert to fraction form
    1,907,071.50/4,500,976.50 = 4,500,976.50/x
  3. Step 3: Cross multiply
    1,907,071.50x = 4,500,976.50 × 4,500,976.50
  4. Step 4: Simplify right side
    1,907,071.50x = 20,258,789,453,552.25
  5. Step 5: Solve for x
    x = 20,258,789,453,552.25/1,907,071.50
  6. Step 6: Final answer
    x = 10,622,983.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.