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Finding the Third Proportional to 428,624,804 and 908,753,584

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Solution

The third proportional to 428,624,804 and 908,753,584 is: 1,926,703,888.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,624,804 : 908,753,584 = 908,753,584 : x
  2. Step 2: Convert to fraction form
    428,624,804/908,753,584 = 908,753,584/x
  3. Step 3: Cross multiply
    428,624,804x = 908,753,584 × 908,753,584
  4. Step 4: Simplify right side
    428,624,804x = 825,833,076,432,845,056
  5. Step 5: Solve for x
    x = 825,833,076,432,845,056/428,624,804
  6. Step 6: Final answer
    x = 1,926,703,888.17

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.