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Finding the Third Proportional to 916,841 and 1,991,457

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Solution

The third proportional to 916,841 and 1,991,457 is: 4,325,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,841 : 1,991,457 = 1,991,457 : x
  2. Step 2: Convert to fraction form
    916,841/1,991,457 = 1,991,457/x
  3. Step 3: Cross multiply
    916,841x = 1,991,457 × 1,991,457
  4. Step 4: Simplify right side
    916,841x = 3,965,900,982,849
  5. Step 5: Solve for x
    x = 3,965,900,982,849/916,841
  6. Step 6: Final answer
    x = 4,325,614.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.