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Finding the Third Proportional to 715,036 and 1,479,564

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Solution

The third proportional to 715,036 and 1,479,564 is: 3,061,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,036 : 1,479,564 = 1,479,564 : x
  2. Step 2: Convert to fraction form
    715,036/1,479,564 = 1,479,564/x
  3. Step 3: Cross multiply
    715,036x = 1,479,564 × 1,479,564
  4. Step 4: Simplify right side
    715,036x = 2,189,109,630,096
  5. Step 5: Solve for x
    x = 2,189,109,630,096/715,036
  6. Step 6: Final answer
    x = 3,061,537.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.