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Finding the Third Proportional to 1,580,174 and 3,412,574

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Solution

The third proportional to 1,580,174 and 3,412,574 is: 7,369,860.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,174 : 3,412,574 = 3,412,574 : x
  2. Step 2: Convert to fraction form
    1,580,174/3,412,574 = 3,412,574/x
  3. Step 3: Cross multiply
    1,580,174x = 3,412,574 × 3,412,574
  4. Step 4: Simplify right side
    1,580,174x = 11,645,661,305,476
  5. Step 5: Solve for x
    x = 11,645,661,305,476/1,580,174
  6. Step 6: Final answer
    x = 7,369,860.09

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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.