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Finding the Third Proportional to 417,125,868 and 631,057,401

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Solution

The third proportional to 417,125,868 and 631,057,401 is: 954,708,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,125,868 : 631,057,401 = 631,057,401 : x
  2. Step 2: Convert to fraction form
    417,125,868/631,057,401 = 631,057,401/x
  3. Step 3: Cross multiply
    417,125,868x = 631,057,401 × 631,057,401
  4. Step 4: Simplify right side
    417,125,868x = 398,233,443,356,874,816
  5. Step 5: Solve for x
    x = 398,233,443,356,874,816/417,125,868
  6. Step 6: Final answer
    x = 954,708,096.30

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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.