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Finding the Third Proportional to 1,072,659.38 and 1,590,435

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Solution

The third proportional to 1,072,659.38 and 1,590,435 is: 2,358,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072,659.38 : 1,590,435 = 1,590,435 : x
  2. Step 2: Convert to fraction form
    1,072,659.38/1,590,435 = 1,590,435/x
  3. Step 3: Cross multiply
    1,072,659.38x = 1,590,435 × 1,590,435
  4. Step 4: Simplify right side
    1,072,659.38x = 2,529,483,489,225
  5. Step 5: Solve for x
    x = 2,529,483,489,225/1,072,659.38
  6. Step 6: Final answer
    x = 2,358,142.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.