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Finding the Third Proportional to 540,756 and 794,838

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Solution

The third proportional to 540,756 and 794,838 is: 1,168,304.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,756 : 794,838 = 794,838 : x
  2. Step 2: Convert to fraction form
    540,756/794,838 = 794,838/x
  3. Step 3: Cross multiply
    540,756x = 794,838 × 794,838
  4. Step 4: Simplify right side
    540,756x = 631,767,446,244
  5. Step 5: Solve for x
    x = 631,767,446,244/540,756
  6. Step 6: Final answer
    x = 1,168,304.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.