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Finding the Third Proportional to 540,980 and 842,088

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Solution

The third proportional to 540,980 and 842,088 is: 1,310,791.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,980 : 842,088 = 842,088 : x
  2. Step 2: Convert to fraction form
    540,980/842,088 = 842,088/x
  3. Step 3: Cross multiply
    540,980x = 842,088 × 842,088
  4. Step 4: Simplify right side
    540,980x = 709,112,199,744
  5. Step 5: Solve for x
    x = 709,112,199,744/540,980
  6. Step 6: Final answer
    x = 1,310,791.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.