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Finding the Third Proportional to 705,028 and 1,550,024

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Solution

The third proportional to 705,028 and 1,550,024 is: 3,407,771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,028 : 1,550,024 = 1,550,024 : x
  2. Step 2: Convert to fraction form
    705,028/1,550,024 = 1,550,024/x
  3. Step 3: Cross multiply
    705,028x = 1,550,024 × 1,550,024
  4. Step 4: Simplify right side
    705,028x = 2,402,574,400,576
  5. Step 5: Solve for x
    x = 2,402,574,400,576/705,028
  6. Step 6: Final answer
    x = 3,407,771.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.