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Finding the Third Proportional to 456,101 and 971,254

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Solution

The third proportional to 456,101 and 971,254 is: 2,068,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,101 : 971,254 = 971,254 : x
  2. Step 2: Convert to fraction form
    456,101/971,254 = 971,254/x
  3. Step 3: Cross multiply
    456,101x = 971,254 × 971,254
  4. Step 4: Simplify right side
    456,101x = 943,334,332,516
  5. Step 5: Solve for x
    x = 943,334,332,516/456,101
  6. Step 6: Final answer
    x = 2,068,257.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.