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Finding the Third Proportional to 586,052 and 1,203,172

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Solution

The third proportional to 586,052 and 1,203,172 is: 2,470,126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,052 : 1,203,172 = 1,203,172 : x
  2. Step 2: Convert to fraction form
    586,052/1,203,172 = 1,203,172/x
  3. Step 3: Cross multiply
    586,052x = 1,203,172 × 1,203,172
  4. Step 4: Simplify right side
    586,052x = 1,447,622,861,584
  5. Step 5: Solve for x
    x = 1,447,622,861,584/586,052
  6. Step 6: Final answer
    x = 2,470,126.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.