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Finding the Third Proportional to 451,332 and 973,194.75

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Solution

The third proportional to 451,332 and 973,194.75 is: 2,098,473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,332 : 973,194.75 = 973,194.75 : x
  2. Step 2: Convert to fraction form
    451,332/973,194.75 = 973,194.75/x
  3. Step 3: Cross multiply
    451,332x = 973,194.75 × 973,194.75
  4. Step 4: Simplify right side
    451,332x = 947,108,021,427.56
  5. Step 5: Solve for x
    x = 947,108,021,427.56/451,332
  6. Step 6: Final answer
    x = 2,098,473.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.