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Finding the Third Proportional to 3,914,964 and 5,702,004

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Solution

The third proportional to 3,914,964 and 5,702,004 is: 8,304,763.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914,964 : 5,702,004 = 5,702,004 : x
  2. Step 2: Convert to fraction form
    3,914,964/5,702,004 = 5,702,004/x
  3. Step 3: Cross multiply
    3,914,964x = 5,702,004 × 5,702,004
  4. Step 4: Simplify right side
    3,914,964x = 32,512,849,616,016
  5. Step 5: Solve for x
    x = 32,512,849,616,016/3,914,964
  6. Step 6: Final answer
    x = 8,304,763.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.