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Finding the Third Proportional to 4,328,009 and 6,754,043

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Solution

The third proportional to 4,328,009 and 6,754,043 is: 10,539,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328,009 : 6,754,043 = 6,754,043 : x
  2. Step 2: Convert to fraction form
    4,328,009/6,754,043 = 6,754,043/x
  3. Step 3: Cross multiply
    4,328,009x = 6,754,043 × 6,754,043
  4. Step 4: Simplify right side
    4,328,009x = 45,617,096,845,849
  5. Step 5: Solve for x
    x = 45,617,096,845,849/4,328,009
  6. Step 6: Final answer
    x = 10,539,972.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.