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Finding the Third Proportional to 396,669,644 and 857,077,216

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Solution

The third proportional to 396,669,644 and 857,077,216 is: 1,851,871,866.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,669,644 : 857,077,216 = 857,077,216 : x
  2. Step 2: Convert to fraction form
    396,669,644/857,077,216 = 857,077,216/x
  3. Step 3: Cross multiply
    396,669,644x = 857,077,216 × 857,077,216
  4. Step 4: Simplify right side
    396,669,644x = 734,581,354,186,310,656
  5. Step 5: Solve for x
    x = 734,581,354,186,310,656/396,669,644
  6. Step 6: Final answer
    x = 1,851,871,866.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.