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Finding the Third Proportional to 830,263.50 and 1,798,237.13

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Solution

The third proportional to 830,263.50 and 1,798,237.13 is: 3,894,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,263.50 : 1,798,237.13 = 1,798,237.13 : x
  2. Step 2: Convert to fraction form
    830,263.50/1,798,237.13 = 1,798,237.13/x
  3. Step 3: Cross multiply
    830,263.50x = 1,798,237.13 × 1,798,237.13
  4. Step 4: Simplify right side
    830,263.50x = 3,233,656,757,728.27
  5. Step 5: Solve for x
    x = 3,233,656,757,728.27/830,263.50
  6. Step 6: Final answer
    x = 3,894,735.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.