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Finding the Third Proportional to 468,758 and 970,746

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Solution

The third proportional to 468,758 and 970,746 is: 2,010,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,758 : 970,746 = 970,746 : x
  2. Step 2: Convert to fraction form
    468,758/970,746 = 970,746/x
  3. Step 3: Cross multiply
    468,758x = 970,746 × 970,746
  4. Step 4: Simplify right side
    468,758x = 942,347,796,516
  5. Step 5: Solve for x
    x = 942,347,796,516/468,758
  6. Step 6: Final answer
    x = 2,010,307.66

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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.