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Finding the Third Proportional to 452,656.50 and 983,160.38

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Solution

The third proportional to 452,656.50 and 983,160.38 is: 2,135,403.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,656.50 : 983,160.38 = 983,160.38 : x
  2. Step 2: Convert to fraction form
    452,656.50/983,160.38 = 983,160.38/x
  3. Step 3: Cross multiply
    452,656.50x = 983,160.38 × 983,160.38
  4. Step 4: Simplify right side
    452,656.50x = 966,604,322,970.14
  5. Step 5: Solve for x
    x = 966,604,322,970.14/452,656.50
  6. Step 6: Final answer
    x = 2,135,403.61

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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.