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Finding the Third Proportional to 653,223,734 and 967,590,576

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Solution

The third proportional to 653,223,734 and 967,590,576 is: 1,433,247,865.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,223,734 : 967,590,576 = 967,590,576 : x
  2. Step 2: Convert to fraction form
    653,223,734/967,590,576 = 967,590,576/x
  3. Step 3: Cross multiply
    653,223,734x = 967,590,576 × 967,590,576
  4. Step 4: Simplify right side
    653,223,734x = 936,231,522,764,011,776
  5. Step 5: Solve for x
    x = 936,231,522,764,011,776/653,223,734
  6. Step 6: Final answer
    x = 1,433,247,865.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.