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Finding the Third Proportional to 475,074.81 and 1,024,883.19

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Solution

The third proportional to 475,074.81 and 1,024,883.19 is: 2,210,989.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,074.81 : 1,024,883.19 = 1,024,883.19 : x
  2. Step 2: Convert to fraction form
    475,074.81/1,024,883.19 = 1,024,883.19/x
  3. Step 3: Cross multiply
    475,074.81x = 1,024,883.19 × 1,024,883.19
  4. Step 4: Simplify right side
    475,074.81x = 1,050,385,556,026.96
  5. Step 5: Solve for x
    x = 1,050,385,556,026.96/475,074.81
  6. Step 6: Final answer
    x = 2,210,989.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.