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Finding the Third Proportional to 452,607.75 and 970,931.25

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Solution

The third proportional to 452,607.75 and 970,931.25 is: 2,082,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,607.75 : 970,931.25 = 970,931.25 : x
  2. Step 2: Convert to fraction form
    452,607.75/970,931.25 = 970,931.25/x
  3. Step 3: Cross multiply
    452,607.75x = 970,931.25 × 970,931.25
  4. Step 4: Simplify right side
    452,607.75x = 942,707,492,226.56
  5. Step 5: Solve for x
    x = 942,707,492,226.56/452,607.75
  6. Step 6: Final answer
    x = 2,082,835.51

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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.