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Finding the Third Proportional to 3,214,009 and 4,706,005.50

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Solution

The third proportional to 3,214,009 and 4,706,005.50 is: 6,890,611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214,009 : 4,706,005.50 = 4,706,005.50 : x
  2. Step 2: Convert to fraction form
    3,214,009/4,706,005.50 = 4,706,005.50/x
  3. Step 3: Cross multiply
    3,214,009x = 4,706,005.50 × 4,706,005.50
  4. Step 4: Simplify right side
    3,214,009x = 22,146,487,766,030.25
  5. Step 5: Solve for x
    x = 22,146,487,766,030.25/3,214,009
  6. Step 6: Final answer
    x = 6,890,611.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.