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Finding the Third Proportional to 1,657,842 and 2,492,917

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Solution

The third proportional to 1,657,842 and 2,492,917 is: 3,748,629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,842 : 2,492,917 = 2,492,917 : x
  2. Step 2: Convert to fraction form
    1,657,842/2,492,917 = 2,492,917/x
  3. Step 3: Cross multiply
    1,657,842x = 2,492,917 × 2,492,917
  4. Step 4: Simplify right side
    1,657,842x = 6,214,635,168,889
  5. Step 5: Solve for x
    x = 6,214,635,168,889/1,657,842
  6. Step 6: Final answer
    x = 3,748,629.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.