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Finding the Third Proportional to 763,099 and 1,036,391

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Solution

The third proportional to 763,099 and 1,036,391 is: 1,407,558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,099 : 1,036,391 = 1,036,391 : x
  2. Step 2: Convert to fraction form
    763,099/1,036,391 = 1,036,391/x
  3. Step 3: Cross multiply
    763,099x = 1,036,391 × 1,036,391
  4. Step 4: Simplify right side
    763,099x = 1,074,106,304,881
  5. Step 5: Solve for x
    x = 1,074,106,304,881/763,099
  6. Step 6: Final answer
    x = 1,407,558.27

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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.