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Finding the Third Proportional to 848,638.13 and 1,830,136.50

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Solution

The third proportional to 848,638.13 and 1,830,136.50 is: 3,946,793.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,638.13 : 1,830,136.50 = 1,830,136.50 : x
  2. Step 2: Convert to fraction form
    848,638.13/1,830,136.50 = 1,830,136.50/x
  3. Step 3: Cross multiply
    848,638.13x = 1,830,136.50 × 1,830,136.50
  4. Step 4: Simplify right side
    848,638.13x = 3,349,399,608,632.25
  5. Step 5: Solve for x
    x = 3,349,399,608,632.25/848,638.13
  6. Step 6: Final answer
    x = 3,946,793.70

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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.