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Finding the Third Proportional to 979,902 and 1,539,844

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Solution

The third proportional to 979,902 and 1,539,844 is: 2,419,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,902 : 1,539,844 = 1,539,844 : x
  2. Step 2: Convert to fraction form
    979,902/1,539,844 = 1,539,844/x
  3. Step 3: Cross multiply
    979,902x = 1,539,844 × 1,539,844
  4. Step 4: Simplify right side
    979,902x = 2,371,119,544,336
  5. Step 5: Solve for x
    x = 2,371,119,544,336/979,902
  6. Step 6: Final answer
    x = 2,419,751.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.