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Finding the Third Proportional to 594,505,494 and 1,243,217,970

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Solution

The third proportional to 594,505,494 and 1,243,217,970 is: 2,599,792,493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,505,494 : 1,243,217,970 = 1,243,217,970 : x
  2. Step 2: Convert to fraction form
    594,505,494/1,243,217,970 = 1,243,217,970/x
  3. Step 3: Cross multiply
    594,505,494x = 1,243,217,970 × 1,243,217,970
  4. Step 4: Simplify right side
    594,505,494x = 1,545,590,920,930,920,960
  5. Step 5: Solve for x
    x = 1,545,590,920,930,920,960/594,505,494
  6. Step 6: Final answer
    x = 2,599,792,493.98

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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.