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Finding the Third Proportional to 814,933 and 1,781,316

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Solution

The third proportional to 814,933 and 1,781,316 is: 3,893,678.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,933 : 1,781,316 = 1,781,316 : x
  2. Step 2: Convert to fraction form
    814,933/1,781,316 = 1,781,316/x
  3. Step 3: Cross multiply
    814,933x = 1,781,316 × 1,781,316
  4. Step 4: Simplify right side
    814,933x = 3,173,086,691,856
  5. Step 5: Solve for x
    x = 3,173,086,691,856/814,933
  6. Step 6: Final answer
    x = 3,893,678.00

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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.