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Finding the Third Proportional to 468,630 and 970,489.13

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Solution

The third proportional to 468,630 and 970,489.13 is: 2,009,792.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,630 : 970,489.13 = 970,489.13 : x
  2. Step 2: Convert to fraction form
    468,630/970,489.13 = 970,489.13/x
  3. Step 3: Cross multiply
    468,630x = 970,489.13 × 970,489.13
  4. Step 4: Simplify right side
    468,630x = 941,849,141,743.27
  5. Step 5: Solve for x
    x = 941,849,141,743.27/468,630
  6. Step 6: Final answer
    x = 2,009,792.68

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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.