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Finding the Third Proportional to 493,506 and 1,071,573

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Solution

The third proportional to 493,506 and 1,071,573 is: 2,326,757.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,506 : 1,071,573 = 1,071,573 : x
  2. Step 2: Convert to fraction form
    493,506/1,071,573 = 1,071,573/x
  3. Step 3: Cross multiply
    493,506x = 1,071,573 × 1,071,573
  4. Step 4: Simplify right side
    493,506x = 1,148,268,694,329
  5. Step 5: Solve for x
    x = 1,148,268,694,329/493,506
  6. Step 6: Final answer
    x = 2,326,757.31

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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.