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Finding the Third Proportional to 594,505,499 and 1,243,217,980

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Solution

The third proportional to 594,505,499 and 1,243,217,980 is: 2,599,792,513.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,505,499 : 1,243,217,980 = 1,243,217,980 : x
  2. Step 2: Convert to fraction form
    594,505,499/1,243,217,980 = 1,243,217,980/x
  3. Step 3: Cross multiply
    594,505,499x = 1,243,217,980 × 1,243,217,980
  4. Step 4: Simplify right side
    594,505,499x = 1,545,590,945,795,280,384
  5. Step 5: Solve for x
    x = 1,545,590,945,795,280,384/594,505,499
  6. Step 6: Final answer
    x = 2,599,792,513.94

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