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Finding the Third Proportional to 986,343 and 1,521,069

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Solution

The third proportional to 986,343 and 1,521,069 is: 2,345,685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,343 : 1,521,069 = 1,521,069 : x
  2. Step 2: Convert to fraction form
    986,343/1,521,069 = 1,521,069/x
  3. Step 3: Cross multiply
    986,343x = 1,521,069 × 1,521,069
  4. Step 4: Simplify right side
    986,343x = 2,313,650,902,761
  5. Step 5: Solve for x
    x = 2,313,650,902,761/986,343
  6. Step 6: Final answer
    x = 2,345,685.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.