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Finding the Third Proportional to 2,658,576 and 5,798,352

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Solution

The third proportional to 2,658,576 and 5,798,352 is: 12,646,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658,576 : 5,798,352 = 5,798,352 : x
  2. Step 2: Convert to fraction form
    2,658,576/5,798,352 = 5,798,352/x
  3. Step 3: Cross multiply
    2,658,576x = 5,798,352 × 5,798,352
  4. Step 4: Simplify right side
    2,658,576x = 33,620,885,915,904
  5. Step 5: Solve for x
    x = 33,620,885,915,904/2,658,576
  6. Step 6: Final answer
    x = 12,646,200.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.