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Finding the Third Proportional to 568,430.16 and 1,215,622.69

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Solution

The third proportional to 568,430.16 and 1,215,622.69 is: 2,599,683.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,430.16 : 1,215,622.69 = 1,215,622.69 : x
  2. Step 2: Convert to fraction form
    568,430.16/1,215,622.69 = 1,215,622.69/x
  3. Step 3: Cross multiply
    568,430.16x = 1,215,622.69 × 1,215,622.69
  4. Step 4: Simplify right side
    568,430.16x = 1,477,738,518,364.72
  5. Step 5: Solve for x
    x = 1,477,738,518,364.72/568,430.16
  6. Step 6: Final answer
    x = 2,599,683.54

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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.