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Finding the Third Proportional to 655,473.94 and 1,430,103.38

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Solution

The third proportional to 655,473.94 and 1,430,103.38 is: 3,120,178.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,473.94 : 1,430,103.38 = 1,430,103.38 : x
  2. Step 2: Convert to fraction form
    655,473.94/1,430,103.38 = 1,430,103.38/x
  3. Step 3: Cross multiply
    655,473.94x = 1,430,103.38 × 1,430,103.38
  4. Step 4: Simplify right side
    655,473.94x = 2,045,195,663,186.39
  5. Step 5: Solve for x
    x = 2,045,195,663,186.39/655,473.94
  6. Step 6: Final answer
    x = 3,120,178.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.