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Finding the Third Proportional to 914,854.50 and 1,932,703.31

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Solution

The third proportional to 914,854.50 and 1,932,703.31 is: 4,082,990.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,854.50 : 1,932,703.31 = 1,932,703.31 : x
  2. Step 2: Convert to fraction form
    914,854.50/1,932,703.31 = 1,932,703.31/x
  3. Step 3: Cross multiply
    914,854.50x = 1,932,703.31 × 1,932,703.31
  4. Step 4: Simplify right side
    914,854.50x = 3,735,342,094,148.47
  5. Step 5: Solve for x
    x = 3,735,342,094,148.47/914,854.50
  6. Step 6: Final answer
    x = 4,082,990.35

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.