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Finding the Third Proportional to 1,224,639,431 and 1,891,107,081

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Solution

The third proportional to 1,224,639,431 and 1,891,107,081 is: 2,920,276,696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224,639,431 : 1,891,107,081 = 1,891,107,081 : x
  2. Step 2: Convert to fraction form
    1,224,639,431/1,891,107,081 = 1,891,107,081/x
  3. Step 3: Cross multiply
    1,224,639,431x = 1,891,107,081 × 1,891,107,081
  4. Step 4: Simplify right side
    1,224,639,431x = 3,576,285,991,808,340,480
  5. Step 5: Solve for x
    x = 3,576,285,991,808,340,480/1,224,639,431
  6. Step 6: Final answer
    x = 2,920,276,696.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.