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Finding the Third Proportional to 769,044 and 1,165,017

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Solution

The third proportional to 769,044 and 1,165,017 is: 1,764,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,044 : 1,165,017 = 1,165,017 : x
  2. Step 2: Convert to fraction form
    769,044/1,165,017 = 1,165,017/x
  3. Step 3: Cross multiply
    769,044x = 1,165,017 × 1,165,017
  4. Step 4: Simplify right side
    769,044x = 1,357,264,610,289
  5. Step 5: Solve for x
    x = 1,357,264,610,289/769,044
  6. Step 6: Final answer
    x = 1,764,872.50

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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.