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Finding the Third Proportional to 982,107 and 1,532,853

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Solution

The third proportional to 982,107 and 1,532,853 is: 2,392,446.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,107 : 1,532,853 = 1,532,853 : x
  2. Step 2: Convert to fraction form
    982,107/1,532,853 = 1,532,853/x
  3. Step 3: Cross multiply
    982,107x = 1,532,853 × 1,532,853
  4. Step 4: Simplify right side
    982,107x = 2,349,638,319,609
  5. Step 5: Solve for x
    x = 2,349,638,319,609/982,107
  6. Step 6: Final answer
    x = 2,392,446.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.