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Finding the Third Proportional to 706,720 and 1,125,640

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Solution

The third proportional to 706,720 and 1,125,640 is: 1,792,881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,720 : 1,125,640 = 1,125,640 : x
  2. Step 2: Convert to fraction form
    706,720/1,125,640 = 1,125,640/x
  3. Step 3: Cross multiply
    706,720x = 1,125,640 × 1,125,640
  4. Step 4: Simplify right side
    706,720x = 1,267,065,409,600
  5. Step 5: Solve for x
    x = 1,267,065,409,600/706,720
  6. Step 6: Final answer
    x = 1,792,881.78

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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.