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Finding the Third Proportional to 682,326 and 1,070,235

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Solution

The third proportional to 682,326 and 1,070,235 is: 1,678,674.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,326 : 1,070,235 = 1,070,235 : x
  2. Step 2: Convert to fraction form
    682,326/1,070,235 = 1,070,235/x
  3. Step 3: Cross multiply
    682,326x = 1,070,235 × 1,070,235
  4. Step 4: Simplify right side
    682,326x = 1,145,402,955,225
  5. Step 5: Solve for x
    x = 1,145,402,955,225/682,326
  6. Step 6: Final answer
    x = 1,678,674.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.