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Finding the Third Proportional to 2,558,304 and 5,513,184

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Solution

The third proportional to 2,558,304 and 5,513,184 is: 11,880,995.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558,304 : 5,513,184 = 5,513,184 : x
  2. Step 2: Convert to fraction form
    2,558,304/5,513,184 = 5,513,184/x
  3. Step 3: Cross multiply
    2,558,304x = 5,513,184 × 5,513,184
  4. Step 4: Simplify right side
    2,558,304x = 30,395,197,817,856
  5. Step 5: Solve for x
    x = 30,395,197,817,856/2,558,304
  6. Step 6: Final answer
    x = 11,880,995.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.