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Finding the Third Proportional to 684,706.13 and 1,068,513.24

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Solution

The third proportional to 684,706.13 and 1,068,513.24 is: 1,667,460.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,706.13 : 1,068,513.24 = 1,068,513.24 : x
  2. Step 2: Convert to fraction form
    684,706.13/1,068,513.24 = 1,068,513.24/x
  3. Step 3: Cross multiply
    684,706.13x = 1,068,513.24 × 1,068,513.24
  4. Step 4: Simplify right side
    684,706.13x = 1,141,720,544,556.22
  5. Step 5: Solve for x
    x = 1,141,720,544,556.22/684,706.13
  6. Step 6: Final answer
    x = 1,667,460.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.