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Finding the Third Proportional to 1,449,902 and 3,411,347

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Solution

The third proportional to 1,449,902 and 3,411,347 is: 8,026,258.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,902 : 3,411,347 = 3,411,347 : x
  2. Step 2: Convert to fraction form
    1,449,902/3,411,347 = 3,411,347/x
  3. Step 3: Cross multiply
    1,449,902x = 3,411,347 × 3,411,347
  4. Step 4: Simplify right side
    1,449,902x = 11,637,288,354,409
  5. Step 5: Solve for x
    x = 11,637,288,354,409/1,449,902
  6. Step 6: Final answer
    x = 8,026,258.57

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.