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Finding the Third Proportional to 932,953 and 1,428,917

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Solution

The third proportional to 932,953 and 1,428,917 is: 2,188,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,953 : 1,428,917 = 1,428,917 : x
  2. Step 2: Convert to fraction form
    932,953/1,428,917 = 1,428,917/x
  3. Step 3: Cross multiply
    932,953x = 1,428,917 × 1,428,917
  4. Step 4: Simplify right side
    932,953x = 2,041,803,792,889
  5. Step 5: Solve for x
    x = 2,041,803,792,889/932,953
  6. Step 6: Final answer
    x = 2,188,538.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.