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Finding the Third Proportional to 454,085 and 973,368

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Solution

The third proportional to 454,085 and 973,368 is: 2,086,493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,085 : 973,368 = 973,368 : x
  2. Step 2: Convert to fraction form
    454,085/973,368 = 973,368/x
  3. Step 3: Cross multiply
    454,085x = 973,368 × 973,368
  4. Step 4: Simplify right side
    454,085x = 947,445,263,424
  5. Step 5: Solve for x
    x = 947,445,263,424/454,085
  6. Step 6: Final answer
    x = 2,086,493.20

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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.