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Finding the Third Proportional to 539,346 and 1,173,825

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Solution

The third proportional to 539,346 and 1,173,825 is: 2,554,696.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,346 : 1,173,825 = 1,173,825 : x
  2. Step 2: Convert to fraction form
    539,346/1,173,825 = 1,173,825/x
  3. Step 3: Cross multiply
    539,346x = 1,173,825 × 1,173,825
  4. Step 4: Simplify right side
    539,346x = 1,377,865,130,625
  5. Step 5: Solve for x
    x = 1,377,865,130,625/539,346
  6. Step 6: Final answer
    x = 2,554,696.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.