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Finding the Third Proportional to 532,923 and 1,103,430

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Solution

The third proportional to 532,923 and 1,103,430 is: 2,284,678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,923 : 1,103,430 = 1,103,430 : x
  2. Step 2: Convert to fraction form
    532,923/1,103,430 = 1,103,430/x
  3. Step 3: Cross multiply
    532,923x = 1,103,430 × 1,103,430
  4. Step 4: Simplify right side
    532,923x = 1,217,557,764,900
  5. Step 5: Solve for x
    x = 1,217,557,764,900/532,923
  6. Step 6: Final answer
    x = 2,284,678.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.