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Finding the Third Proportional to 480,710 and 1,112,823

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Solution

The third proportional to 480,710 and 1,112,823 is: 2,576,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,710 : 1,112,823 = 1,112,823 : x
  2. Step 2: Convert to fraction form
    480,710/1,112,823 = 1,112,823/x
  3. Step 3: Cross multiply
    480,710x = 1,112,823 × 1,112,823
  4. Step 4: Simplify right side
    480,710x = 1,238,375,029,329
  5. Step 5: Solve for x
    x = 1,238,375,029,329/480,710
  6. Step 6: Final answer
    x = 2,576,137.44

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.