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Finding the Third Proportional to 455,649 and 1,054,863

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Solution

The third proportional to 455,649 and 1,054,863 is: 2,442,090.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,649 : 1,054,863 = 1,054,863 : x
  2. Step 2: Convert to fraction form
    455,649/1,054,863 = 1,054,863/x
  3. Step 3: Cross multiply
    455,649x = 1,054,863 × 1,054,863
  4. Step 4: Simplify right side
    455,649x = 1,112,735,948,769
  5. Step 5: Solve for x
    x = 1,112,735,948,769/455,649
  6. Step 6: Final answer
    x = 2,442,090.18

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.