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Finding the Third Proportional to 540,984 and 842,094

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Solution

The third proportional to 540,984 and 842,094 is: 1,310,800.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,984 : 842,094 = 842,094 : x
  2. Step 2: Convert to fraction form
    540,984/842,094 = 842,094/x
  3. Step 3: Cross multiply
    540,984x = 842,094 × 842,094
  4. Step 4: Simplify right side
    540,984x = 709,122,304,836
  5. Step 5: Solve for x
    x = 709,122,304,836/540,984
  6. Step 6: Final answer
    x = 1,310,800.88

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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.