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Finding the Third Proportional to 1,380,971 and 2,953,833

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Solution

The third proportional to 1,380,971 and 2,953,833 is: 6,318,111.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,971 : 2,953,833 = 2,953,833 : x
  2. Step 2: Convert to fraction form
    1,380,971/2,953,833 = 2,953,833/x
  3. Step 3: Cross multiply
    1,380,971x = 2,953,833 × 2,953,833
  4. Step 4: Simplify right side
    1,380,971x = 8,725,129,391,889
  5. Step 5: Solve for x
    x = 8,725,129,391,889/1,380,971
  6. Step 6: Final answer
    x = 6,318,111.96

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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.