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Finding the Third Proportional to 594,505,490 and 1,243,217,960

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Solution

The third proportional to 594,505,490 and 1,243,217,960 is: 2,599,792,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,505,490 : 1,243,217,960 = 1,243,217,960 : x
  2. Step 2: Convert to fraction form
    594,505,490/1,243,217,960 = 1,243,217,960/x
  3. Step 3: Cross multiply
    594,505,490x = 1,243,217,960 × 1,243,217,960
  4. Step 4: Simplify right side
    594,505,490x = 1,545,590,896,066,561,536
  5. Step 5: Solve for x
    x = 1,545,590,896,066,561,536/594,505,490
  6. Step 6: Final answer
    x = 2,599,792,469.65

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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.