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Finding the Third Proportional to 742,118 and 1,589,176

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Solution

The third proportional to 742,118 and 1,589,176 is: 3,403,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,118 : 1,589,176 = 1,589,176 : x
  2. Step 2: Convert to fraction form
    742,118/1,589,176 = 1,589,176/x
  3. Step 3: Cross multiply
    742,118x = 1,589,176 × 1,589,176
  4. Step 4: Simplify right side
    742,118x = 2,525,480,358,976
  5. Step 5: Solve for x
    x = 2,525,480,358,976/742,118
  6. Step 6: Final answer
    x = 3,403,071.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.