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Finding the Third Proportional to 1,869,945.75 and 4,035,136.50

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Solution

The third proportional to 1,869,945.75 and 4,035,136.50 is: 8,707,379.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869,945.75 : 4,035,136.50 = 4,035,136.50 : x
  2. Step 2: Convert to fraction form
    1,869,945.75/4,035,136.50 = 4,035,136.50/x
  3. Step 3: Cross multiply
    1,869,945.75x = 4,035,136.50 × 4,035,136.50
  4. Step 4: Simplify right side
    1,869,945.75x = 16,282,326,573,632.25
  5. Step 5: Solve for x
    x = 16,282,326,573,632.25/1,869,945.75
  6. Step 6: Final answer
    x = 8,707,379.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.