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Finding the Third Proportional to 469,267,256 and 709,940,724

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Solution

The third proportional to 469,267,256 and 709,940,724 is: 1,074,048,583.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,267,256 : 709,940,724 = 709,940,724 : x
  2. Step 2: Convert to fraction form
    469,267,256/709,940,724 = 709,940,724/x
  3. Step 3: Cross multiply
    469,267,256x = 709,940,724 × 709,940,724
  4. Step 4: Simplify right side
    469,267,256x = 504,015,831,593,644,160
  5. Step 5: Solve for x
    x = 504,015,831,593,644,160/469,267,256
  6. Step 6: Final answer
    x = 1,074,048,583.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.