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Finding the Third Proportional to 468,752 and 970,735

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Solution

The third proportional to 468,752 and 970,735 is: 2,010,287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,752 : 970,735 = 970,735 : x
  2. Step 2: Convert to fraction form
    468,752/970,735 = 970,735/x
  3. Step 3: Cross multiply
    468,752x = 970,735 × 970,735
  4. Step 4: Simplify right side
    468,752x = 942,326,440,225
  5. Step 5: Solve for x
    x = 942,326,440,225/468,752
  6. Step 6: Final answer
    x = 2,010,287.83

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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.