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Finding the Third Proportional to 454,078 and 973,352

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Solution

The third proportional to 454,078 and 973,352 is: 2,086,456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,078 : 973,352 = 973,352 : x
  2. Step 2: Convert to fraction form
    454,078/973,352 = 973,352/x
  3. Step 3: Cross multiply
    454,078x = 973,352 × 973,352
  4. Step 4: Simplify right side
    454,078x = 947,414,115,904
  5. Step 5: Solve for x
    x = 947,414,115,904/454,078
  6. Step 6: Final answer
    x = 2,086,456.77

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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.