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Finding the Third Proportional to 573,198 and 1,214,670

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Solution

The third proportional to 573,198 and 1,214,670 is: 2,574,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,198 : 1,214,670 = 1,214,670 : x
  2. Step 2: Convert to fraction form
    573,198/1,214,670 = 1,214,670/x
  3. Step 3: Cross multiply
    573,198x = 1,214,670 × 1,214,670
  4. Step 4: Simplify right side
    573,198x = 1,475,423,208,900
  5. Step 5: Solve for x
    x = 1,475,423,208,900/573,198
  6. Step 6: Final answer
    x = 2,574,020.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.