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Finding the Third Proportional to 763,369 and 1,036,736

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Solution

The third proportional to 763,369 and 1,036,736 is: 1,407,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,369 : 1,036,736 = 1,036,736 : x
  2. Step 2: Convert to fraction form
    763,369/1,036,736 = 1,036,736/x
  3. Step 3: Cross multiply
    763,369x = 1,036,736 × 1,036,736
  4. Step 4: Simplify right side
    763,369x = 1,074,821,533,696
  5. Step 5: Solve for x
    x = 1,074,821,533,696/763,369
  6. Step 6: Final answer
    x = 1,407,997.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.