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Finding the Third Proportional to 830,737.69 and 1,815,233.63

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Solution

The third proportional to 830,737.69 and 1,815,233.63 is: 3,966,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,737.69 : 1,815,233.63 = 1,815,233.63 : x
  2. Step 2: Convert to fraction form
    830,737.69/1,815,233.63 = 1,815,233.63/x
  3. Step 3: Cross multiply
    830,737.69x = 1,815,233.63 × 1,815,233.63
  4. Step 4: Simplify right side
    830,737.69x = 3,295,073,113,330.64
  5. Step 5: Solve for x
    x = 3,295,073,113,330.64/830,737.69
  6. Step 6: Final answer
    x = 3,966,442.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.