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Finding the Third Proportional to 509,404,543 and 764,645,982

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Solution

The third proportional to 509,404,543 and 764,645,982 is: 1,147,778,294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,404,543 : 764,645,982 = 764,645,982 : x
  2. Step 2: Convert to fraction form
    509,404,543/764,645,982 = 764,645,982/x
  3. Step 3: Cross multiply
    509,404,543x = 764,645,982 × 764,645,982
  4. Step 4: Simplify right side
    509,404,543x = 584,683,477,788,744,320
  5. Step 5: Solve for x
    x = 584,683,477,788,744,320/509,404,543
  6. Step 6: Final answer
    x = 1,147,778,294.92

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