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Finding the Third Proportional to 781,012 and 1,705,232

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Solution

The third proportional to 781,012 and 1,705,232 is: 3,723,138.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,012 : 1,705,232 = 1,705,232 : x
  2. Step 2: Convert to fraction form
    781,012/1,705,232 = 1,705,232/x
  3. Step 3: Cross multiply
    781,012x = 1,705,232 × 1,705,232
  4. Step 4: Simplify right side
    781,012x = 2,907,816,173,824
  5. Step 5: Solve for x
    x = 2,907,816,173,824/781,012
  6. Step 6: Final answer
    x = 3,723,138.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.