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Finding the Third Proportional to 682,911 and 1,475,240

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Solution

The third proportional to 682,911 and 1,475,240 is: 3,186,847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,911 : 1,475,240 = 1,475,240 : x
  2. Step 2: Convert to fraction form
    682,911/1,475,240 = 1,475,240/x
  3. Step 3: Cross multiply
    682,911x = 1,475,240 × 1,475,240
  4. Step 4: Simplify right side
    682,911x = 2,176,333,057,600
  5. Step 5: Solve for x
    x = 2,176,333,057,600/682,911
  6. Step 6: Final answer
    x = 3,186,847.27

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