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Finding the Third Proportional to 713,672 and 978,609

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Solution

The third proportional to 713,672 and 978,609 is: 1,341,898.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,672 : 978,609 = 978,609 : x
  2. Step 2: Convert to fraction form
    713,672/978,609 = 978,609/x
  3. Step 3: Cross multiply
    713,672x = 978,609 × 978,609
  4. Step 4: Simplify right side
    713,672x = 957,675,574,881
  5. Step 5: Solve for x
    x = 957,675,574,881/713,672
  6. Step 6: Final answer
    x = 1,341,898.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.