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Finding the Third Proportional to 769,044 and 1,165,038

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Solution

The third proportional to 769,044 and 1,165,038 is: 1,764,936.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,044 : 1,165,038 = 1,165,038 : x
  2. Step 2: Convert to fraction form
    769,044/1,165,038 = 1,165,038/x
  3. Step 3: Cross multiply
    769,044x = 1,165,038 × 1,165,038
  4. Step 4: Simplify right side
    769,044x = 1,357,313,541,444
  5. Step 5: Solve for x
    x = 1,357,313,541,444/769,044
  6. Step 6: Final answer
    x = 1,764,936.13

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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.