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Finding the Third Proportional to 1,661,984.50 and 3,572,246.50

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Solution

The third proportional to 1,661,984.50 and 3,572,246.50 is: 7,678,137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,984.50 : 3,572,246.50 = 3,572,246.50 : x
  2. Step 2: Convert to fraction form
    1,661,984.50/3,572,246.50 = 3,572,246.50/x
  3. Step 3: Cross multiply
    1,661,984.50x = 3,572,246.50 × 3,572,246.50
  4. Step 4: Simplify right side
    1,661,984.50x = 12,760,945,056,762.25
  5. Step 5: Solve for x
    x = 12,760,945,056,762.25/1,661,984.50
  6. Step 6: Final answer
    x = 7,678,137.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.