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Finding the Third Proportional to 444,807,564 and 926,431,494

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Solution

The third proportional to 444,807,564 and 926,431,494 is: 1,929,542,981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,807,564 : 926,431,494 = 926,431,494 : x
  2. Step 2: Convert to fraction form
    444,807,564/926,431,494 = 926,431,494/x
  3. Step 3: Cross multiply
    444,807,564x = 926,431,494 × 926,431,494
  4. Step 4: Simplify right side
    444,807,564x = 858,275,313,075,072,000
  5. Step 5: Solve for x
    x = 858,275,313,075,072,000/444,807,564
  6. Step 6: Final answer
    x = 1,929,542,981.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.