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Finding the Third Proportional to 1,082,613.41 and 1,513,566.32

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Solution

The third proportional to 1,082,613.41 and 1,513,566.32 is: 2,116,067.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,613.41 : 1,513,566.32 = 1,513,566.32 : x
  2. Step 2: Convert to fraction form
    1,082,613.41/1,513,566.32 = 1,513,566.32/x
  3. Step 3: Cross multiply
    1,082,613.41x = 1,513,566.32 × 1,513,566.32
  4. Step 4: Simplify right side
    1,082,613.41x = 2,290,882,994,159.43
  5. Step 5: Solve for x
    x = 2,290,882,994,159.43/1,082,613.41
  6. Step 6: Final answer
    x = 2,116,067.45

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.