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Finding the Third Proportional to 454,059 and 973,323

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Solution

The third proportional to 454,059 and 973,323 is: 2,086,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,059 : 973,323 = 973,323 : x
  2. Step 2: Convert to fraction form
    454,059/973,323 = 973,323/x
  3. Step 3: Cross multiply
    454,059x = 973,323 × 973,323
  4. Step 4: Simplify right side
    454,059x = 947,357,662,329
  5. Step 5: Solve for x
    x = 947,357,662,329/454,059
  6. Step 6: Final answer
    x = 2,086,419.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.