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Finding the Third Proportional to 700,130 and 1,086,195

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Solution

The third proportional to 700,130 and 1,086,195 is: 1,685,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,130 : 1,086,195 = 1,086,195 : x
  2. Step 2: Convert to fraction form
    700,130/1,086,195 = 1,086,195/x
  3. Step 3: Cross multiply
    700,130x = 1,086,195 × 1,086,195
  4. Step 4: Simplify right side
    700,130x = 1,179,819,578,025
  5. Step 5: Solve for x
    x = 1,179,819,578,025/700,130
  6. Step 6: Final answer
    x = 1,685,143.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.