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Finding the Third Proportional to 2,199,575.25 and 4,600,308.94

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Solution

The third proportional to 2,199,575.25 and 4,600,308.94 is: 9,621,331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199,575.25 : 4,600,308.94 = 4,600,308.94 : x
  2. Step 2: Convert to fraction form
    2,199,575.25/4,600,308.94 = 4,600,308.94/x
  3. Step 3: Cross multiply
    2,199,575.25x = 4,600,308.94 × 4,600,308.94
  4. Step 4: Simplify right side
    2,199,575.25x = 21,162,842,320,442.38
  5. Step 5: Solve for x
    x = 21,162,842,320,442.38/2,199,575.25
  6. Step 6: Final answer
    x = 9,621,331.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.