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Finding the Third Proportional to 2,031,600 and 4,333,200

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Solution

The third proportional to 2,031,600 and 4,333,200 is: 9,242,283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,600 : 4,333,200 = 4,333,200 : x
  2. Step 2: Convert to fraction form
    2,031,600/4,333,200 = 4,333,200/x
  3. Step 3: Cross multiply
    2,031,600x = 4,333,200 × 4,333,200
  4. Step 4: Simplify right side
    2,031,600x = 18,776,622,240,000
  5. Step 5: Solve for x
    x = 18,776,622,240,000/2,031,600
  6. Step 6: Final answer
    x = 9,242,283.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.