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Finding the Third Proportional to 480,384 and 1,042,816

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Solution

The third proportional to 480,384 and 1,042,816 is: 2,263,741.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,384 : 1,042,816 = 1,042,816 : x
  2. Step 2: Convert to fraction form
    480,384/1,042,816 = 1,042,816/x
  3. Step 3: Cross multiply
    480,384x = 1,042,816 × 1,042,816
  4. Step 4: Simplify right side
    480,384x = 1,087,465,209,856
  5. Step 5: Solve for x
    x = 1,087,465,209,856/480,384
  6. Step 6: Final answer
    x = 2,263,741.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.