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Finding the Third Proportional to 2,558,576 and 5,298,304

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Solution

The third proportional to 2,558,576 and 5,298,304 is: 10,971,737.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558,576 : 5,298,304 = 5,298,304 : x
  2. Step 2: Convert to fraction form
    2,558,576/5,298,304 = 5,298,304/x
  3. Step 3: Cross multiply
    2,558,576x = 5,298,304 × 5,298,304
  4. Step 4: Simplify right side
    2,558,576x = 28,072,025,276,416
  5. Step 5: Solve for x
    x = 28,072,025,276,416/2,558,576
  6. Step 6: Final answer
    x = 10,971,737.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.