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Finding the Third Proportional to 680,622.75 and 1,492,053.75

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Solution

The third proportional to 680,622.75 and 1,492,053.75 is: 3,270,863.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,622.75 : 1,492,053.75 = 1,492,053.75 : x
  2. Step 2: Convert to fraction form
    680,622.75/1,492,053.75 = 1,492,053.75/x
  3. Step 3: Cross multiply
    680,622.75x = 1,492,053.75 × 1,492,053.75
  4. Step 4: Simplify right side
    680,622.75x = 2,226,224,392,889.06
  5. Step 5: Solve for x
    x = 2,226,224,392,889.06/680,622.75
  6. Step 6: Final answer
    x = 3,270,863.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.