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Finding the Third Proportional to 713,636 and 978,555

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Solution

The third proportional to 713,636 and 978,555 is: 1,341,818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,636 : 978,555 = 978,555 : x
  2. Step 2: Convert to fraction form
    713,636/978,555 = 978,555/x
  3. Step 3: Cross multiply
    713,636x = 978,555 × 978,555
  4. Step 4: Simplify right side
    713,636x = 957,569,888,025
  5. Step 5: Solve for x
    x = 957,569,888,025/713,636
  6. Step 6: Final answer
    x = 1,341,818.36

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Why These Related Problems?

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