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Finding the Third Proportional to 524,250,207 and 1,135,735,470

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Solution

The third proportional to 524,250,207 and 1,135,735,470 is: 2,460,456,935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,250,207 : 1,135,735,470 = 1,135,735,470 : x
  2. Step 2: Convert to fraction form
    524,250,207/1,135,735,470 = 1,135,735,470/x
  3. Step 3: Cross multiply
    524,250,207x = 1,135,735,470 × 1,135,735,470
  4. Step 4: Simplify right side
    524,250,207x = 1,289,895,057,816,120,832
  5. Step 5: Solve for x
    x = 1,289,895,057,816,120,832/524,250,207
  6. Step 6: Final answer
    x = 2,460,456,935.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.