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Finding the Third Proportional to 780,245 and 1,671,082

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Solution

The third proportional to 780,245 and 1,671,082 is: 3,579,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,245 : 1,671,082 = 1,671,082 : x
  2. Step 2: Convert to fraction form
    780,245/1,671,082 = 1,671,082/x
  3. Step 3: Cross multiply
    780,245x = 1,671,082 × 1,671,082
  4. Step 4: Simplify right side
    780,245x = 2,792,515,050,724
  5. Step 5: Solve for x
    x = 2,792,515,050,724/780,245
  6. Step 6: Final answer
    x = 3,579,023.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.