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Finding the Third Proportional to 467,810 and 967,708

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Solution

The third proportional to 467,810 and 967,708 is: 2,001,792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,810 : 967,708 = 967,708 : x
  2. Step 2: Convert to fraction form
    467,810/967,708 = 967,708/x
  3. Step 3: Cross multiply
    467,810x = 967,708 × 967,708
  4. Step 4: Simplify right side
    467,810x = 936,458,773,264
  5. Step 5: Solve for x
    x = 936,458,773,264/467,810
  6. Step 6: Final answer
    x = 2,001,792.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.