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Finding the Third Proportional to 486,457 and 1,044,842

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Solution

The third proportional to 486,457 and 1,044,842 is: 2,244,175.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,457 : 1,044,842 = 1,044,842 : x
  2. Step 2: Convert to fraction form
    486,457/1,044,842 = 1,044,842/x
  3. Step 3: Cross multiply
    486,457x = 1,044,842 × 1,044,842
  4. Step 4: Simplify right side
    486,457x = 1,091,694,804,964
  5. Step 5: Solve for x
    x = 1,091,694,804,964/486,457
  6. Step 6: Final answer
    x = 2,244,175.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.