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Finding the Third Proportional to 539,060 and 835,836

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Solution

The third proportional to 539,060 and 835,836 is: 1,296,000.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,060 : 835,836 = 835,836 : x
  2. Step 2: Convert to fraction form
    539,060/835,836 = 835,836/x
  3. Step 3: Cross multiply
    539,060x = 835,836 × 835,836
  4. Step 4: Simplify right side
    539,060x = 698,621,818,896
  5. Step 5: Solve for x
    x = 698,621,818,896/539,060
  6. Step 6: Final answer
    x = 1,296,000.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.