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Finding the Third Proportional to 1,683,431.86 and 2,521,685.04

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Solution

The third proportional to 1,683,431.86 and 2,521,685.04 is: 3,777,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,431.86 : 2,521,685.04 = 2,521,685.04 : x
  2. Step 2: Convert to fraction form
    1,683,431.86/2,521,685.04 = 2,521,685.04/x
  3. Step 3: Cross multiply
    1,683,431.86x = 2,521,685.04 × 2,521,685.04
  4. Step 4: Simplify right side
    1,683,431.86x = 6,358,895,436,231.64
  5. Step 5: Solve for x
    x = 6,358,895,436,231.64/1,683,431.86
  6. Step 6: Final answer
    x = 3,777,340.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.