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Finding the Third Proportional to 3,814,084.13 and 5,756,595.75

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Solution

The third proportional to 3,814,084.13 and 5,756,595.75 is: 8,688,427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814,084.13 : 5,756,595.75 = 5,756,595.75 : x
  2. Step 2: Convert to fraction form
    3,814,084.13/5,756,595.75 = 5,756,595.75/x
  3. Step 3: Cross multiply
    3,814,084.13x = 5,756,595.75 × 5,756,595.75
  4. Step 4: Simplify right side
    3,814,084.13x = 33,138,394,628,918.06
  5. Step 5: Solve for x
    x = 33,138,394,628,918.06/3,814,084.13
  6. Step 6: Final answer
    x = 8,688,427.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.