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Finding the Third Proportional to 682,907.84 and 1,475,234.02

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Solution

The third proportional to 682,907.84 and 1,475,234.02 is: 3,186,836.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,907.84 : 1,475,234.02 = 1,475,234.02 : x
  2. Step 2: Convert to fraction form
    682,907.84/1,475,234.02 = 1,475,234.02/x
  3. Step 3: Cross multiply
    682,907.84x = 1,475,234.02 × 1,475,234.02
  4. Step 4: Simplify right side
    682,907.84x = 2,176,315,400,857.06
  5. Step 5: Solve for x
    x = 2,176,315,400,857.06/682,907.84
  6. Step 6: Final answer
    x = 3,186,836.18

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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.