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Finding the Third Proportional to 658,720 and 1,419,056

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Solution

The third proportional to 658,720 and 1,419,056 is: 3,057,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,720 : 1,419,056 = 1,419,056 : x
  2. Step 2: Convert to fraction form
    658,720/1,419,056 = 1,419,056/x
  3. Step 3: Cross multiply
    658,720x = 1,419,056 × 1,419,056
  4. Step 4: Simplify right side
    658,720x = 2,013,719,931,136
  5. Step 5: Solve for x
    x = 2,013,719,931,136/658,720
  6. Step 6: Final answer
    x = 3,057,019.57

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.