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Finding the Third Proportional to 413,617,104 and 896,165,694

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Solution

The third proportional to 413,617,104 and 896,165,694 is: 1,941,682,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,617,104 : 896,165,694 = 896,165,694 : x
  2. Step 2: Convert to fraction form
    413,617,104/896,165,694 = 896,165,694/x
  3. Step 3: Cross multiply
    413,617,104x = 896,165,694 × 896,165,694
  4. Step 4: Simplify right side
    413,617,104x = 803,112,951,102,501,632
  5. Step 5: Solve for x
    x = 803,112,951,102,501,632/413,617,104
  6. Step 6: Final answer
    x = 1,941,682,158.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.