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Finding the Third Proportional to 1,907,747.50 and 4,042,943

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Solution

The third proportional to 1,907,747.50 and 4,042,943 is: 8,567,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907,747.50 : 4,042,943 = 4,042,943 : x
  2. Step 2: Convert to fraction form
    1,907,747.50/4,042,943 = 4,042,943/x
  3. Step 3: Cross multiply
    1,907,747.50x = 4,042,943 × 4,042,943
  4. Step 4: Simplify right side
    1,907,747.50x = 16,345,388,101,249
  5. Step 5: Solve for x
    x = 16,345,388,101,249/1,907,747.50
  6. Step 6: Final answer
    x = 8,567,899.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.