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Finding the Third Proportional to 540,626 and 778,754

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Solution

The third proportional to 540,626 and 778,754 is: 1,121,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,626 : 778,754 = 778,754 : x
  2. Step 2: Convert to fraction form
    540,626/778,754 = 778,754/x
  3. Step 3: Cross multiply
    540,626x = 778,754 × 778,754
  4. Step 4: Simplify right side
    540,626x = 606,457,792,516
  5. Step 5: Solve for x
    x = 606,457,792,516/540,626
  6. Step 6: Final answer
    x = 1,121,769.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.