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Finding the Third Proportional to 478,558 and 1,051,458

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Solution

The third proportional to 478,558 and 1,051,458 is: 2,310,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,558 : 1,051,458 = 1,051,458 : x
  2. Step 2: Convert to fraction form
    478,558/1,051,458 = 1,051,458/x
  3. Step 3: Cross multiply
    478,558x = 1,051,458 × 1,051,458
  4. Step 4: Simplify right side
    478,558x = 1,105,563,925,764
  5. Step 5: Solve for x
    x = 1,105,563,925,764/478,558
  6. Step 6: Final answer
    x = 2,310,198.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.