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Finding the Third Proportional to 468,774 and 970,785

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Solution

The third proportional to 468,774 and 970,785 is: 2,010,400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,774 : 970,785 = 970,785 : x
  2. Step 2: Convert to fraction form
    468,774/970,785 = 970,785/x
  3. Step 3: Cross multiply
    468,774x = 970,785 × 970,785
  4. Step 4: Simplify right side
    468,774x = 942,423,516,225
  5. Step 5: Solve for x
    x = 942,423,516,225/468,774
  6. Step 6: Final answer
    x = 2,010,400.57

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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.