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Finding the Third Proportional to 474,674,280 and 985,728,576

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Solution

The third proportional to 474,674,280 and 985,728,576 is: 2,047,005,423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,674,280 : 985,728,576 = 985,728,576 : x
  2. Step 2: Convert to fraction form
    474,674,280/985,728,576 = 985,728,576/x
  3. Step 3: Cross multiply
    474,674,280x = 985,728,576 × 985,728,576
  4. Step 4: Simplify right side
    474,674,280x = 971,660,825,542,987,776
  5. Step 5: Solve for x
    x = 971,660,825,542,987,776/474,674,280
  6. Step 6: Final answer
    x = 2,047,005,423.47

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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.