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Finding the Third Proportional to 551,683.50 and 1,187,903.63

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Solution

The third proportional to 551,683.50 and 1,187,903.63 is: 2,557,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,683.50 : 1,187,903.63 = 1,187,903.63 : x
  2. Step 2: Convert to fraction form
    551,683.50/1,187,903.63 = 1,187,903.63/x
  3. Step 3: Cross multiply
    551,683.50x = 1,187,903.63 × 1,187,903.63
  4. Step 4: Simplify right side
    551,683.50x = 1,411,115,022,288.14
  5. Step 5: Solve for x
    x = 1,411,115,022,288.14/551,683.50
  6. Step 6: Final answer
    x = 2,557,834.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.