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Finding the Third Proportional to 455,464 and 973,984

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Solution

The third proportional to 455,464 and 973,984 is: 2,082,809.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,464 : 973,984 = 973,984 : x
  2. Step 2: Convert to fraction form
    455,464/973,984 = 973,984/x
  3. Step 3: Cross multiply
    455,464x = 973,984 × 973,984
  4. Step 4: Simplify right side
    455,464x = 948,644,832,256
  5. Step 5: Solve for x
    x = 948,644,832,256/455,464
  6. Step 6: Final answer
    x = 2,082,809.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.