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Finding the Third Proportional to 586,124 and 1,277,224

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Solution

The third proportional to 586,124 and 1,277,224 is: 2,783,201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,124 : 1,277,224 = 1,277,224 : x
  2. Step 2: Convert to fraction form
    586,124/1,277,224 = 1,277,224/x
  3. Step 3: Cross multiply
    586,124x = 1,277,224 × 1,277,224
  4. Step 4: Simplify right side
    586,124x = 1,631,301,146,176
  5. Step 5: Solve for x
    x = 1,631,301,146,176/586,124
  6. Step 6: Final answer
    x = 2,783,201.42

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Why These Related Problems?

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