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Finding the Third Proportional to 459,924.50 and 1,005,349

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Solution

The third proportional to 459,924.50 and 1,005,349 is: 2,197,592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,924.50 : 1,005,349 = 1,005,349 : x
  2. Step 2: Convert to fraction form
    459,924.50/1,005,349 = 1,005,349/x
  3. Step 3: Cross multiply
    459,924.50x = 1,005,349 × 1,005,349
  4. Step 4: Simplify right side
    459,924.50x = 1,010,726,611,801
  5. Step 5: Solve for x
    x = 1,010,726,611,801/459,924.50
  6. Step 6: Final answer
    x = 2,197,592.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.