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Finding the Third Proportional to 483,645.94 and 1,046,089.69

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Solution

The third proportional to 483,645.94 and 1,046,089.69 is: 2,262,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,645.94 : 1,046,089.69 = 1,046,089.69 : x
  2. Step 2: Convert to fraction form
    483,645.94/1,046,089.69 = 1,046,089.69/x
  3. Step 3: Cross multiply
    483,645.94x = 1,046,089.69 × 1,046,089.69
  4. Step 4: Simplify right side
    483,645.94x = 1,094,303,634,293.85
  5. Step 5: Solve for x
    x = 1,094,303,634,293.85/483,645.94
  6. Step 6: Final answer
    x = 2,262,613.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.