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Finding the Third Proportional to 493,407 and 1,081,044

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Solution

The third proportional to 493,407 and 1,081,044 is: 2,368,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,407 : 1,081,044 = 1,081,044 : x
  2. Step 2: Convert to fraction form
    493,407/1,081,044 = 1,081,044/x
  3. Step 3: Cross multiply
    493,407x = 1,081,044 × 1,081,044
  4. Step 4: Simplify right side
    493,407x = 1,168,656,129,936
  5. Step 5: Solve for x
    x = 1,168,656,129,936/493,407
  6. Step 6: Final answer
    x = 2,368,543.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.