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Finding the Third Proportional to 3,168,509 and 4,767,938

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Solution

The third proportional to 3,168,509 and 4,767,938 is: 7,174,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168,509 : 4,767,938 = 4,767,938 : x
  2. Step 2: Convert to fraction form
    3,168,509/4,767,938 = 4,767,938/x
  3. Step 3: Cross multiply
    3,168,509x = 4,767,938 × 4,767,938
  4. Step 4: Simplify right side
    3,168,509x = 22,733,232,771,844
  5. Step 5: Solve for x
    x = 22,733,232,771,844/3,168,509
  6. Step 6: Final answer
    x = 7,174,741.42

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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.