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Finding the Third Proportional to 763,083 and 1,036,367

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Solution

The third proportional to 763,083 and 1,036,367 is: 1,407,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,083 : 1,036,367 = 1,036,367 : x
  2. Step 2: Convert to fraction form
    763,083/1,036,367 = 1,036,367/x
  3. Step 3: Cross multiply
    763,083x = 1,036,367 × 1,036,367
  4. Step 4: Simplify right side
    763,083x = 1,074,056,558,689
  5. Step 5: Solve for x
    x = 1,074,056,558,689/763,083
  6. Step 6: Final answer
    x = 1,407,522.59

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