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Finding the Third Proportional to 541,480,549 and 1,186,766,473

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Solution

The third proportional to 541,480,549 and 1,186,766,473 is: 2,601,043,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,480,549 : 1,186,766,473 = 1,186,766,473 : x
  2. Step 2: Convert to fraction form
    541,480,549/1,186,766,473 = 1,186,766,473/x
  3. Step 3: Cross multiply
    541,480,549x = 1,186,766,473 × 1,186,766,473
  4. Step 4: Simplify right side
    541,480,549x = 1,408,414,661,436,859,648
  5. Step 5: Solve for x
    x = 1,408,414,661,436,859,648/541,480,549
  6. Step 6: Final answer
    x = 2,601,043,867.67

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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.