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Finding the Third Proportional to 524,770,476.75 and 1,214,875,806.75

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Solution

The third proportional to 524,770,476.75 and 1,214,875,806.75 is: 2,812,511,928.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,770,476.75 : 1,214,875,806.75 = 1,214,875,806.75 : x
  2. Step 2: Convert to fraction form
    524,770,476.75/1,214,875,806.75 = 1,214,875,806.75/x
  3. Step 3: Cross multiply
    524,770,476.75x = 1,214,875,806.75 × 1,214,875,806.75
  4. Step 4: Simplify right side
    524,770,476.75x = 1,475,923,225,826,463,232
  5. Step 5: Solve for x
    x = 1,475,923,225,826,463,232/524,770,476.75
  6. Step 6: Final answer
    x = 2,812,511,928.96

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.