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Finding the Third Proportional to 670,353 and 1,428,405

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Solution

The third proportional to 670,353 and 1,428,405 is: 3,043,681.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,353 : 1,428,405 = 1,428,405 : x
  2. Step 2: Convert to fraction form
    670,353/1,428,405 = 1,428,405/x
  3. Step 3: Cross multiply
    670,353x = 1,428,405 × 1,428,405
  4. Step 4: Simplify right side
    670,353x = 2,040,340,844,025
  5. Step 5: Solve for x
    x = 2,040,340,844,025/670,353
  6. Step 6: Final answer
    x = 3,043,681.23

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.