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Finding the Third Proportional to 931,311 and 1,424,034

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Solution

The third proportional to 931,311 and 1,424,034 is: 2,177,438.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,311 : 1,424,034 = 1,424,034 : x
  2. Step 2: Convert to fraction form
    931,311/1,424,034 = 1,424,034/x
  3. Step 3: Cross multiply
    931,311x = 1,424,034 × 1,424,034
  4. Step 4: Simplify right side
    931,311x = 2,027,872,833,156
  5. Step 5: Solve for x
    x = 2,027,872,833,156/931,311
  6. Step 6: Final answer
    x = 2,177,438.94

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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.