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Finding the Third Proportional to 761,571 and 1,620,946

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Solution

The third proportional to 761,571 and 1,620,946 is: 3,450,060.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,571 : 1,620,946 = 1,620,946 : x
  2. Step 2: Convert to fraction form
    761,571/1,620,946 = 1,620,946/x
  3. Step 3: Cross multiply
    761,571x = 1,620,946 × 1,620,946
  4. Step 4: Simplify right side
    761,571x = 2,627,465,934,916
  5. Step 5: Solve for x
    x = 2,627,465,934,916/761,571
  6. Step 6: Final answer
    x = 3,450,060.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.