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Finding the Third Proportional to 485,091 and 1,020,451

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Solution

The third proportional to 485,091 and 1,020,451 is: 2,146,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,091 : 1,020,451 = 1,020,451 : x
  2. Step 2: Convert to fraction form
    485,091/1,020,451 = 1,020,451/x
  3. Step 3: Cross multiply
    485,091x = 1,020,451 × 1,020,451
  4. Step 4: Simplify right side
    485,091x = 1,041,320,243,401
  5. Step 5: Solve for x
    x = 1,041,320,243,401/485,091
  6. Step 6: Final answer
    x = 2,146,649.27

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.