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Finding the Third Proportional to 3,891,017 and 6,215,984

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Solution

The third proportional to 3,891,017 and 6,215,984 is: 9,930,169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891,017 : 6,215,984 = 6,215,984 : x
  2. Step 2: Convert to fraction form
    3,891,017/6,215,984 = 6,215,984/x
  3. Step 3: Cross multiply
    3,891,017x = 6,215,984 × 6,215,984
  4. Step 4: Simplify right side
    3,891,017x = 38,638,457,088,256
  5. Step 5: Solve for x
    x = 38,638,457,088,256/3,891,017
  6. Step 6: Final answer
    x = 9,930,169.18

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.