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Finding the Third Proportional to 3,068,649 and 4,602,972

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Solution

The third proportional to 3,068,649 and 4,602,972 is: 6,904,455.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068,649 : 4,602,972 = 4,602,972 : x
  2. Step 2: Convert to fraction form
    3,068,649/4,602,972 = 4,602,972/x
  3. Step 3: Cross multiply
    3,068,649x = 4,602,972 × 4,602,972
  4. Step 4: Simplify right side
    3,068,649x = 21,187,351,232,784
  5. Step 5: Solve for x
    x = 21,187,351,232,784/3,068,649
  6. Step 6: Final answer
    x = 6,904,455.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.