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Finding the Third Proportional to 647,970.75 and 912,087

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Solution

The third proportional to 647,970.75 and 912,087 is: 1,283,858.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,970.75 : 912,087 = 912,087 : x
  2. Step 2: Convert to fraction form
    647,970.75/912,087 = 912,087/x
  3. Step 3: Cross multiply
    647,970.75x = 912,087 × 912,087
  4. Step 4: Simplify right side
    647,970.75x = 831,902,695,569
  5. Step 5: Solve for x
    x = 831,902,695,569/647,970.75
  6. Step 6: Final answer
    x = 1,283,858.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.