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Finding the Third Proportional to 3,405,966.50 and 5,676,383.75

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Solution

The third proportional to 3,405,966.50 and 5,676,383.75 is: 9,460,261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405,966.50 : 5,676,383.75 = 5,676,383.75 : x
  2. Step 2: Convert to fraction form
    3,405,966.50/5,676,383.75 = 5,676,383.75/x
  3. Step 3: Cross multiply
    3,405,966.50x = 5,676,383.75 × 5,676,383.75
  4. Step 4: Simplify right side
    3,405,966.50x = 32,221,332,477,264.06
  5. Step 5: Solve for x
    x = 32,221,332,477,264.06/3,405,966.50
  6. Step 6: Final answer
    x = 9,460,261.13

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.