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Finding the Third Proportional to 511,336.13 and 1,107,297

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Solution

The third proportional to 511,336.13 and 1,107,297 is: 2,397,848.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,336.13 : 1,107,297 = 1,107,297 : x
  2. Step 2: Convert to fraction form
    511,336.13/1,107,297 = 1,107,297/x
  3. Step 3: Cross multiply
    511,336.13x = 1,107,297 × 1,107,297
  4. Step 4: Simplify right side
    511,336.13x = 1,226,106,646,209
  5. Step 5: Solve for x
    x = 1,226,106,646,209/511,336.13
  6. Step 6: Final answer
    x = 2,397,848.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.