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Finding the Third Proportional to 433,210 and 1,043,656

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Solution

The third proportional to 433,210 and 1,043,656 is: 2,514,295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,210 : 1,043,656 = 1,043,656 : x
  2. Step 2: Convert to fraction form
    433,210/1,043,656 = 1,043,656/x
  3. Step 3: Cross multiply
    433,210x = 1,043,656 × 1,043,656
  4. Step 4: Simplify right side
    433,210x = 1,089,217,846,336
  5. Step 5: Solve for x
    x = 1,089,217,846,336/433,210
  6. Step 6: Final answer
    x = 2,514,295.25

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.