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Finding the Third Proportional to 4,071,964 and 6,299,256

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Solution

The third proportional to 4,071,964 and 6,299,256 is: 9,744,837.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071,964 : 6,299,256 = 6,299,256 : x
  2. Step 2: Convert to fraction form
    4,071,964/6,299,256 = 6,299,256/x
  3. Step 3: Cross multiply
    4,071,964x = 6,299,256 × 6,299,256
  4. Step 4: Simplify right side
    4,071,964x = 39,680,626,153,536
  5. Step 5: Solve for x
    x = 39,680,626,153,536/4,071,964
  6. Step 6: Final answer
    x = 9,744,837.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.