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Finding the Third Proportional to 1,347,962 and 2,885,464

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Solution

The third proportional to 1,347,962 and 2,885,464 is: 6,176,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347,962 : 2,885,464 = 2,885,464 : x
  2. Step 2: Convert to fraction form
    1,347,962/2,885,464 = 2,885,464/x
  3. Step 3: Cross multiply
    1,347,962x = 2,885,464 × 2,885,464
  4. Step 4: Simplify right side
    1,347,962x = 8,325,902,495,296
  5. Step 5: Solve for x
    x = 8,325,902,495,296/1,347,962
  6. Step 6: Final answer
    x = 6,176,659.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.