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Finding the Third Proportional to 651,148.88 and 1,407,570.75

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Solution

The third proportional to 651,148.88 and 1,407,570.75 is: 3,042,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,148.88 : 1,407,570.75 = 1,407,570.75 : x
  2. Step 2: Convert to fraction form
    651,148.88/1,407,570.75 = 1,407,570.75/x
  3. Step 3: Cross multiply
    651,148.88x = 1,407,570.75 × 1,407,570.75
  4. Step 4: Simplify right side
    651,148.88x = 1,981,255,416,255.56
  5. Step 5: Solve for x
    x = 1,981,255,416,255.56/651,148.88
  6. Step 6: Final answer
    x = 3,042,707.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.