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Finding the Third Proportional to 957,134.81 and 1,482,758.16

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Solution

The third proportional to 957,134.81 and 1,482,758.16 is: 2,297,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,134.81 : 1,482,758.16 = 1,482,758.16 : x
  2. Step 2: Convert to fraction form
    957,134.81/1,482,758.16 = 1,482,758.16/x
  3. Step 3: Cross multiply
    957,134.81x = 1,482,758.16 × 1,482,758.16
  4. Step 4: Simplify right side
    957,134.81x = 2,198,571,749,925.90
  5. Step 5: Solve for x
    x = 2,198,571,749,925.90/957,134.81
  6. Step 6: Final answer
    x = 2,297,034.57

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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.