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Finding the Third Proportional to 480,443.63 and 1,020,148.88

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Solution

The third proportional to 480,443.63 and 1,020,148.88 is: 2,166,130.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,443.63 : 1,020,148.88 = 1,020,148.88 : x
  2. Step 2: Convert to fraction form
    480,443.63/1,020,148.88 = 1,020,148.88/x
  3. Step 3: Cross multiply
    480,443.63x = 1,020,148.88 × 1,020,148.88
  4. Step 4: Simplify right side
    480,443.63x = 1,040,703,727,163.77
  5. Step 5: Solve for x
    x = 1,040,703,727,163.77/480,443.63
  6. Step 6: Final answer
    x = 2,166,130.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.