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Finding the Third Proportional to 413,160 and 875,925

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Solution

The third proportional to 413,160 and 875,925 is: 1,857,015.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,160 : 875,925 = 875,925 : x
  2. Step 2: Convert to fraction form
    413,160/875,925 = 875,925/x
  3. Step 3: Cross multiply
    413,160x = 875,925 × 875,925
  4. Step 4: Simplify right side
    413,160x = 767,244,605,625
  5. Step 5: Solve for x
    x = 767,244,605,625/413,160
  6. Step 6: Final answer
    x = 1,857,015.70

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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.