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Finding the Third Proportional to 2,905,936 and 4,535,509

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Solution

The third proportional to 2,905,936 and 4,535,509 is: 7,078,903.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905,936 : 4,535,509 = 4,535,509 : x
  2. Step 2: Convert to fraction form
    2,905,936/4,535,509 = 4,535,509/x
  3. Step 3: Cross multiply
    2,905,936x = 4,535,509 × 4,535,509
  4. Step 4: Simplify right side
    2,905,936x = 20,570,841,889,081
  5. Step 5: Solve for x
    x = 20,570,841,889,081/2,905,936
  6. Step 6: Final answer
    x = 7,078,903.97

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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.