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Finding the Third Proportional to 780,202 and 1,670,996

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Solution

The third proportional to 780,202 and 1,670,996 is: 3,578,852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,202 : 1,670,996 = 1,670,996 : x
  2. Step 2: Convert to fraction form
    780,202/1,670,996 = 1,670,996/x
  3. Step 3: Cross multiply
    780,202x = 1,670,996 × 1,670,996
  4. Step 4: Simplify right side
    780,202x = 2,792,227,632,016
  5. Step 5: Solve for x
    x = 2,792,227,632,016/780,202
  6. Step 6: Final answer
    x = 3,578,852.18

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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.