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Finding the Third Proportional to 653,223,604 and 967,590,412

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Solution

The third proportional to 653,223,604 and 967,590,412 is: 1,433,247,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,223,604 : 967,590,412 = 967,590,412 : x
  2. Step 2: Convert to fraction form
    653,223,604/967,590,412 = 967,590,412/x
  3. Step 3: Cross multiply
    653,223,604x = 967,590,412 × 967,590,412
  4. Step 4: Simplify right side
    653,223,604x = 936,231,205,394,329,728
  5. Step 5: Solve for x
    x = 936,231,205,394,329,728/653,223,604
  6. Step 6: Final answer
    x = 1,433,247,665.37

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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.