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Finding the Third Proportional to 1,414,527.75 and 2,894,421.38

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Solution

The third proportional to 1,414,527.75 and 2,894,421.38 is: 5,922,595.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,527.75 : 2,894,421.38 = 2,894,421.38 : x
  2. Step 2: Convert to fraction form
    1,414,527.75/2,894,421.38 = 2,894,421.38/x
  3. Step 3: Cross multiply
    1,414,527.75x = 2,894,421.38 × 2,894,421.38
  4. Step 4: Simplify right side
    1,414,527.75x = 8,377,675,096,056.89
  5. Step 5: Solve for x
    x = 8,377,675,096,056.89/1,414,527.75
  6. Step 6: Final answer
    x = 5,922,595.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.