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Finding the Third Proportional to 578,738 and 1,201,828

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Solution

The third proportional to 578,738 and 1,201,828 is: 2,495,758.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,738 : 1,201,828 = 1,201,828 : x
  2. Step 2: Convert to fraction form
    578,738/1,201,828 = 1,201,828/x
  3. Step 3: Cross multiply
    578,738x = 1,201,828 × 1,201,828
  4. Step 4: Simplify right side
    578,738x = 1,444,390,541,584
  5. Step 5: Solve for x
    x = 1,444,390,541,584/578,738
  6. Step 6: Final answer
    x = 2,495,758.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.