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Finding the Third Proportional to 706,727 and 1,125,648

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Solution

The third proportional to 706,727 and 1,125,648 is: 1,792,889.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,727 : 1,125,648 = 1,125,648 : x
  2. Step 2: Convert to fraction form
    706,727/1,125,648 = 1,125,648/x
  3. Step 3: Cross multiply
    706,727x = 1,125,648 × 1,125,648
  4. Step 4: Simplify right side
    706,727x = 1,267,083,419,904
  5. Step 5: Solve for x
    x = 1,267,083,419,904/706,727
  6. Step 6: Final answer
    x = 1,792,889.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.