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Finding the Third Proportional to 1,430,464 and 3,093,236

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Solution

The third proportional to 1,430,464 and 3,093,236 is: 6,688,814.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,464 : 3,093,236 = 3,093,236 : x
  2. Step 2: Convert to fraction form
    1,430,464/3,093,236 = 3,093,236/x
  3. Step 3: Cross multiply
    1,430,464x = 3,093,236 × 3,093,236
  4. Step 4: Simplify right side
    1,430,464x = 9,568,108,951,696
  5. Step 5: Solve for x
    x = 9,568,108,951,696/1,430,464
  6. Step 6: Final answer
    x = 6,688,814.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.