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Finding the Third Proportional to 651,759 and 954,306

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Solution

The third proportional to 651,759 and 954,306 is: 1,397,295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,759 : 954,306 = 954,306 : x
  2. Step 2: Convert to fraction form
    651,759/954,306 = 954,306/x
  3. Step 3: Cross multiply
    651,759x = 954,306 × 954,306
  4. Step 4: Simplify right side
    651,759x = 910,699,941,636
  5. Step 5: Solve for x
    x = 910,699,941,636/651,759
  6. Step 6: Final answer
    x = 1,397,295.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.