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Finding the Third Proportional to 830,729.67 and 1,835,838.42

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Solution

The third proportional to 830,729.67 and 1,835,838.42 is: 4,057,039.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,729.67 : 1,835,838.42 = 1,835,838.42 : x
  2. Step 2: Convert to fraction form
    830,729.67/1,835,838.42 = 1,835,838.42/x
  3. Step 3: Cross multiply
    830,729.67x = 1,835,838.42 × 1,835,838.42
  4. Step 4: Simplify right side
    830,729.67x = 3,370,302,711,232.49
  5. Step 5: Solve for x
    x = 3,370,302,711,232.49/830,729.67
  6. Step 6: Final answer
    x = 4,057,039.04

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.