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Finding the Third Proportional to 462,462.75 and 1,008,743.63

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Solution

The third proportional to 462,462.75 and 1,008,743.63 is: 2,200,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,462.75 : 1,008,743.63 = 1,008,743.63 : x
  2. Step 2: Convert to fraction form
    462,462.75/1,008,743.63 = 1,008,743.63/x
  3. Step 3: Cross multiply
    462,462.75x = 1,008,743.63 × 1,008,743.63
  4. Step 4: Simplify right side
    462,462.75x = 1,017,563,700,978.14
  5. Step 5: Solve for x
    x = 1,017,563,700,978.14/462,462.75
  6. Step 6: Final answer
    x = 2,200,314.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.