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Finding the Third Proportional to 731,117 and 978,010

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Solution

The third proportional to 731,117 and 978,010 is: 1,308,277.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,117 : 978,010 = 978,010 : x
  2. Step 2: Convert to fraction form
    731,117/978,010 = 978,010/x
  3. Step 3: Cross multiply
    731,117x = 978,010 × 978,010
  4. Step 4: Simplify right side
    731,117x = 956,503,560,100
  5. Step 5: Solve for x
    x = 956,503,560,100/731,117
  6. Step 6: Final answer
    x = 1,308,277.01

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.