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Finding the Third Proportional to 552,289,478 and 857,534,703

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Solution

The third proportional to 552,289,478 and 857,534,703 is: 1,331,486,106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,289,478 : 857,534,703 = 857,534,703 : x
  2. Step 2: Convert to fraction form
    552,289,478/857,534,703 = 857,534,703/x
  3. Step 3: Cross multiply
    552,289,478x = 857,534,703 × 857,534,703
  4. Step 4: Simplify right side
    552,289,478x = 735,365,766,849,298,176
  5. Step 5: Solve for x
    x = 735,365,766,849,298,176/552,289,478
  6. Step 6: Final answer
    x = 1,331,486,106.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.