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Finding the Third Proportional to 809,854 and 1,771,788

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Solution

The third proportional to 809,854 and 1,771,788 is: 3,876,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,854 : 1,771,788 = 1,771,788 : x
  2. Step 2: Convert to fraction form
    809,854/1,771,788 = 1,771,788/x
  3. Step 3: Cross multiply
    809,854x = 1,771,788 × 1,771,788
  4. Step 4: Simplify right side
    809,854x = 3,139,232,716,944
  5. Step 5: Solve for x
    x = 3,139,232,716,944/809,854
  6. Step 6: Final answer
    x = 3,876,294.64

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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.