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Finding the Third Proportional to 697,747.82 and 1,496,452.71

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Solution

The third proportional to 697,747.82 and 1,496,452.71 is: 3,209,427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,747.82 : 1,496,452.71 = 1,496,452.71 : x
  2. Step 2: Convert to fraction form
    697,747.82/1,496,452.71 = 1,496,452.71/x
  3. Step 3: Cross multiply
    697,747.82x = 1,496,452.71 × 1,496,452.71
  4. Step 4: Simplify right side
    697,747.82x = 2,239,370,716,072.19
  5. Step 5: Solve for x
    x = 2,239,370,716,072.19/697,747.82
  6. Step 6: Final answer
    x = 3,209,427.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.