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Finding the Third Proportional to 653,097.25 and 1,415,181.75

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Solution

The third proportional to 653,097.25 and 1,415,181.75 is: 3,066,525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,097.25 : 1,415,181.75 = 1,415,181.75 : x
  2. Step 2: Convert to fraction form
    653,097.25/1,415,181.75 = 1,415,181.75/x
  3. Step 3: Cross multiply
    653,097.25x = 1,415,181.75 × 1,415,181.75
  4. Step 4: Simplify right side
    653,097.25x = 2,002,739,385,533.06
  5. Step 5: Solve for x
    x = 2,002,739,385,533.06/653,097.25
  6. Step 6: Final answer
    x = 3,066,525.52

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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.