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Finding the Third Proportional to 380,640,985 and 605,674,634

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Solution

The third proportional to 380,640,985 and 605,674,634 is: 963,747,406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,640,985 : 605,674,634 = 605,674,634 : x
  2. Step 2: Convert to fraction form
    380,640,985/605,674,634 = 605,674,634/x
  3. Step 3: Cross multiply
    380,640,985x = 605,674,634 × 605,674,634
  4. Step 4: Simplify right side
    380,640,985x = 366,841,762,271,033,984
  5. Step 5: Solve for x
    x = 366,841,762,271,033,984/380,640,985
  6. Step 6: Final answer
    x = 963,747,406.95

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.