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Finding the Third Proportional to 713,838 and 978,807

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Solution

The third proportional to 713,838 and 978,807 is: 1,342,129.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,838 : 978,807 = 978,807 : x
  2. Step 2: Convert to fraction form
    713,838/978,807 = 978,807/x
  3. Step 3: Cross multiply
    713,838x = 978,807 × 978,807
  4. Step 4: Simplify right side
    713,838x = 958,063,143,249
  5. Step 5: Solve for x
    x = 958,063,143,249/713,838
  6. Step 6: Final answer
    x = 1,342,129.65

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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.