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Finding the Third Proportional to 957,120 and 1,486,176

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Solution

The third proportional to 957,120 and 1,486,176 is: 2,307,672.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,120 : 1,486,176 = 1,486,176 : x
  2. Step 2: Convert to fraction form
    957,120/1,486,176 = 1,486,176/x
  3. Step 3: Cross multiply
    957,120x = 1,486,176 × 1,486,176
  4. Step 4: Simplify right side
    957,120x = 2,208,719,102,976
  5. Step 5: Solve for x
    x = 2,208,719,102,976/957,120
  6. Step 6: Final answer
    x = 2,307,672.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.