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Finding the Third Proportional to 594,505,497 and 1,243,217,976

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Solution

The third proportional to 594,505,497 and 1,243,217,976 is: 2,599,792,505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,505,497 : 1,243,217,976 = 1,243,217,976 : x
  2. Step 2: Convert to fraction form
    594,505,497/1,243,217,976 = 1,243,217,976/x
  3. Step 3: Cross multiply
    594,505,497x = 1,243,217,976 × 1,243,217,976
  4. Step 4: Simplify right side
    594,505,497x = 1,545,590,935,849,536,512
  5. Step 5: Solve for x
    x = 1,545,590,935,849,536,512/594,505,497
  6. Step 6: Final answer
    x = 2,599,792,505.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.