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Finding the Third Proportional to 488,854 and 1,022,354

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Solution

The third proportional to 488,854 and 1,022,354 is: 2,138,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,854 : 1,022,354 = 1,022,354 : x
  2. Step 2: Convert to fraction form
    488,854/1,022,354 = 1,022,354/x
  3. Step 3: Cross multiply
    488,854x = 1,022,354 × 1,022,354
  4. Step 4: Simplify right side
    488,854x = 1,045,207,701,316
  5. Step 5: Solve for x
    x = 1,045,207,701,316/488,854
  6. Step 6: Final answer
    x = 2,138,077.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.