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Finding the Third Proportional to 616,928 and 1,428,050

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Solution

The third proportional to 616,928 and 1,428,050 is: 3,305,615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,928 : 1,428,050 = 1,428,050 : x
  2. Step 2: Convert to fraction form
    616,928/1,428,050 = 1,428,050/x
  3. Step 3: Cross multiply
    616,928x = 1,428,050 × 1,428,050
  4. Step 4: Simplify right side
    616,928x = 2,039,326,802,500
  5. Step 5: Solve for x
    x = 2,039,326,802,500/616,928
  6. Step 6: Final answer
    x = 3,305,615.57

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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.