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Finding the Third Proportional to 454,810 and 985,306

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Solution

The third proportional to 454,810 and 985,306 is: 2,134,579.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,810 : 985,306 = 985,306 : x
  2. Step 2: Convert to fraction form
    454,810/985,306 = 985,306/x
  3. Step 3: Cross multiply
    454,810x = 985,306 × 985,306
  4. Step 4: Simplify right side
    454,810x = 970,827,913,636
  5. Step 5: Solve for x
    x = 970,827,913,636/454,810
  6. Step 6: Final answer
    x = 2,134,579.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.