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Finding the Third Proportional to 1,931,550 and 4,198,938

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Solution

The third proportional to 1,931,550 and 4,198,938 is: 9,127,944.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931,550 : 4,198,938 = 4,198,938 : x
  2. Step 2: Convert to fraction form
    1,931,550/4,198,938 = 4,198,938/x
  3. Step 3: Cross multiply
    1,931,550x = 4,198,938 × 4,198,938
  4. Step 4: Simplify right side
    1,931,550x = 17,631,080,327,844
  5. Step 5: Solve for x
    x = 17,631,080,327,844/1,931,550
  6. Step 6: Final answer
    x = 9,127,944.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.