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Finding the Third Proportional to 662,418 and 1,436,859

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Solution

The third proportional to 662,418 and 1,436,859 is: 3,116,708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,418 : 1,436,859 = 1,436,859 : x
  2. Step 2: Convert to fraction form
    662,418/1,436,859 = 1,436,859/x
  3. Step 3: Cross multiply
    662,418x = 1,436,859 × 1,436,859
  4. Step 4: Simplify right side
    662,418x = 2,064,563,785,881
  5. Step 5: Solve for x
    x = 2,064,563,785,881/662,418
  6. Step 6: Final answer
    x = 3,116,708.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.