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Finding the Third Proportional to 539,870 and 1,158,288

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Solution

The third proportional to 539,870 and 1,158,288 is: 2,485,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,870 : 1,158,288 = 1,158,288 : x
  2. Step 2: Convert to fraction form
    539,870/1,158,288 = 1,158,288/x
  3. Step 3: Cross multiply
    539,870x = 1,158,288 × 1,158,288
  4. Step 4: Simplify right side
    539,870x = 1,341,631,090,944
  5. Step 5: Solve for x
    x = 1,341,631,090,944/539,870
  6. Step 6: Final answer
    x = 2,485,100.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.