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Finding the Third Proportional to 3,294,584 and 7,219,024

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Solution

The third proportional to 3,294,584 and 7,219,024 is: 15,818,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294,584 : 7,219,024 = 7,219,024 : x
  2. Step 2: Convert to fraction form
    3,294,584/7,219,024 = 7,219,024/x
  3. Step 3: Cross multiply
    3,294,584x = 7,219,024 × 7,219,024
  4. Step 4: Simplify right side
    3,294,584x = 52,114,307,512,576
  5. Step 5: Solve for x
    x = 52,114,307,512,576/3,294,584
  6. Step 6: Final answer
    x = 15,818,175.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.