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Finding the Third Proportional to 451,818 and 973,617

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Solution

The third proportional to 451,818 and 973,617 is: 2,098,035.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,818 : 973,617 = 973,617 : x
  2. Step 2: Convert to fraction form
    451,818/973,617 = 973,617/x
  3. Step 3: Cross multiply
    451,818x = 973,617 × 973,617
  4. Step 4: Simplify right side
    451,818x = 947,930,062,689
  5. Step 5: Solve for x
    x = 947,930,062,689/451,818
  6. Step 6: Final answer
    x = 2,098,035.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.