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Finding the Third Proportional to 648,006.75 and 980,937

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Solution

The third proportional to 648,006.75 and 980,937 is: 1,484,918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,006.75 : 980,937 = 980,937 : x
  2. Step 2: Convert to fraction form
    648,006.75/980,937 = 980,937/x
  3. Step 3: Cross multiply
    648,006.75x = 980,937 × 980,937
  4. Step 4: Simplify right side
    648,006.75x = 962,237,397,969
  5. Step 5: Solve for x
    x = 962,237,397,969/648,006.75
  6. Step 6: Final answer
    x = 1,484,918.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.