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Finding the Third Proportional to 1,450,102.50 and 2,174,148

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Solution

The third proportional to 1,450,102.50 and 2,174,148 is: 3,259,714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450,102.50 : 2,174,148 = 2,174,148 : x
  2. Step 2: Convert to fraction form
    1,450,102.50/2,174,148 = 2,174,148/x
  3. Step 3: Cross multiply
    1,450,102.50x = 2,174,148 × 2,174,148
  4. Step 4: Simplify right side
    1,450,102.50x = 4,726,919,525,904
  5. Step 5: Solve for x
    x = 4,726,919,525,904/1,450,102.50
  6. Step 6: Final answer
    x = 3,259,714.07

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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.