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Finding the Third Proportional to 456,438 and 973,938

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Solution

The third proportional to 456,438 and 973,938 is: 2,078,168.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,438 : 973,938 = 973,938 : x
  2. Step 2: Convert to fraction form
    456,438/973,938 = 973,938/x
  3. Step 3: Cross multiply
    456,438x = 973,938 × 973,938
  4. Step 4: Simplify right side
    456,438x = 948,555,227,844
  5. Step 5: Solve for x
    x = 948,555,227,844/456,438
  6. Step 6: Final answer
    x = 2,078,168.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.