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Finding the Third Proportional to 540,982 and 842,091

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Solution

The third proportional to 540,982 and 842,091 is: 1,310,796.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,982 : 842,091 = 842,091 : x
  2. Step 2: Convert to fraction form
    540,982/842,091 = 842,091/x
  3. Step 3: Cross multiply
    540,982x = 842,091 × 842,091
  4. Step 4: Simplify right side
    540,982x = 709,117,252,281
  5. Step 5: Solve for x
    x = 709,117,252,281/540,982
  6. Step 6: Final answer
    x = 1,310,796.39

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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.