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Finding the Third Proportional to 539,442 and 810,546

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Solution

The third proportional to 539,442 and 810,546 is: 1,217,897.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,442 : 810,546 = 810,546 : x
  2. Step 2: Convert to fraction form
    539,442/810,546 = 810,546/x
  3. Step 3: Cross multiply
    539,442x = 810,546 × 810,546
  4. Step 4: Simplify right side
    539,442x = 656,984,818,116
  5. Step 5: Solve for x
    x = 656,984,818,116/539,442
  6. Step 6: Final answer
    x = 1,217,897.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.