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Finding the Third Proportional to 580,872 and 935,796

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Solution

The third proportional to 580,872 and 935,796 is: 1,507,585.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,872 : 935,796 = 935,796 : x
  2. Step 2: Convert to fraction form
    580,872/935,796 = 935,796/x
  3. Step 3: Cross multiply
    580,872x = 935,796 × 935,796
  4. Step 4: Simplify right side
    580,872x = 875,714,153,616
  5. Step 5: Solve for x
    x = 875,714,153,616/580,872
  6. Step 6: Final answer
    x = 1,507,585.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.