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Finding the Third Proportional to 482,384 and 977,904

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Solution

The third proportional to 482,384 and 977,904 is: 1,982,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,384 : 977,904 = 977,904 : x
  2. Step 2: Convert to fraction form
    482,384/977,904 = 977,904/x
  3. Step 3: Cross multiply
    482,384x = 977,904 × 977,904
  4. Step 4: Simplify right side
    482,384x = 956,296,233,216
  5. Step 5: Solve for x
    x = 956,296,233,216/482,384
  6. Step 6: Final answer
    x = 1,982,437.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.