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Finding the Third Proportional to 1,082,307.52 and 2,353,001.94

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Solution

The third proportional to 1,082,307.52 and 2,353,001.94 is: 5,115,568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,307.52 : 2,353,001.94 = 2,353,001.94 : x
  2. Step 2: Convert to fraction form
    1,082,307.52/2,353,001.94 = 2,353,001.94/x
  3. Step 3: Cross multiply
    1,082,307.52x = 2,353,001.94 × 2,353,001.94
  4. Step 4: Simplify right side
    1,082,307.52x = 5,536,618,136,261.35
  5. Step 5: Solve for x
    x = 5,536,618,136,261.35/1,082,307.52
  6. Step 6: Final answer
    x = 5,115,568.41

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Why These Related Problems?

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