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Finding the Third Proportional to 494,458 and 1,063,432

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Solution

The third proportional to 494,458 and 1,063,432 is: 2,287,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,458 : 1,063,432 = 1,063,432 : x
  2. Step 2: Convert to fraction form
    494,458/1,063,432 = 1,063,432/x
  3. Step 3: Cross multiply
    494,458x = 1,063,432 × 1,063,432
  4. Step 4: Simplify right side
    494,458x = 1,130,887,618,624
  5. Step 5: Solve for x
    x = 1,130,887,618,624/494,458
  6. Step 6: Final answer
    x = 2,287,125.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.