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Finding the Third Proportional to 483,138 and 1,024,740

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Solution

The third proportional to 483,138 and 1,024,740 is: 2,173,482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,138 : 1,024,740 = 1,024,740 : x
  2. Step 2: Convert to fraction form
    483,138/1,024,740 = 1,024,740/x
  3. Step 3: Cross multiply
    483,138x = 1,024,740 × 1,024,740
  4. Step 4: Simplify right side
    483,138x = 1,050,092,067,600
  5. Step 5: Solve for x
    x = 1,050,092,067,600/483,138
  6. Step 6: Final answer
    x = 2,173,482.66

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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.