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Finding the Third Proportional to 413,154 and 875,916

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Solution

The third proportional to 413,154 and 875,916 is: 1,857,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,154 : 875,916 = 875,916 : x
  2. Step 2: Convert to fraction form
    413,154/875,916 = 875,916/x
  3. Step 3: Cross multiply
    413,154x = 875,916 × 875,916
  4. Step 4: Simplify right side
    413,154x = 767,228,839,056
  5. Step 5: Solve for x
    x = 767,228,839,056/413,154
  6. Step 6: Final answer
    x = 1,857,004.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.