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Finding the Third Proportional to 451,323 and 973,176.75

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Solution

The third proportional to 451,323 and 973,176.75 is: 2,098,437.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,323 : 973,176.75 = 973,176.75 : x
  2. Step 2: Convert to fraction form
    451,323/973,176.75 = 973,176.75/x
  3. Step 3: Cross multiply
    451,323x = 973,176.75 × 973,176.75
  4. Step 4: Simplify right side
    451,323x = 947,072,986,740.56
  5. Step 5: Solve for x
    x = 947,072,986,740.56/451,323
  6. Step 6: Final answer
    x = 2,098,437.23

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Why These Related Problems?

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