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Finding the Third Proportional to 3,427,984 and 6,544,928

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Solution

The third proportional to 3,427,984 and 6,544,928 is: 12,495,998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427,984 : 6,544,928 = 6,544,928 : x
  2. Step 2: Convert to fraction form
    3,427,984/6,544,928 = 6,544,928/x
  3. Step 3: Cross multiply
    3,427,984x = 6,544,928 × 6,544,928
  4. Step 4: Simplify right side
    3,427,984x = 42,836,082,525,184
  5. Step 5: Solve for x
    x = 42,836,082,525,184/3,427,984
  6. Step 6: Final answer
    x = 12,495,998.38

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.