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Finding the Third Proportional to 688,695.75 and 1,460,760.75

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Solution

The third proportional to 688,695.75 and 1,460,760.75 is: 3,098,352.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,695.75 : 1,460,760.75 = 1,460,760.75 : x
  2. Step 2: Convert to fraction form
    688,695.75/1,460,760.75 = 1,460,760.75/x
  3. Step 3: Cross multiply
    688,695.75x = 1,460,760.75 × 1,460,760.75
  4. Step 4: Simplify right side
    688,695.75x = 2,133,821,968,740.56
  5. Step 5: Solve for x
    x = 2,133,821,968,740.56/688,695.75
  6. Step 6: Final answer
    x = 3,098,352.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.