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Finding the Third Proportional to 226,792,574 and 494,638,964

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Solution

The third proportional to 226,792,574 and 494,638,964 is: 1,078,817,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,792,574 : 494,638,964 = 494,638,964 : x
  2. Step 2: Convert to fraction form
    226,792,574/494,638,964 = 494,638,964/x
  3. Step 3: Cross multiply
    226,792,574x = 494,638,964 × 494,638,964
  4. Step 4: Simplify right side
    226,792,574x = 244,667,704,706,993,280
  5. Step 5: Solve for x
    x = 244,667,704,706,993,280/226,792,574
  6. Step 6: Final answer
    x = 1,078,817,089.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.