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Finding the Third Proportional to 775,225,503 and 1,191,577,653

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Solution

The third proportional to 775,225,503 and 1,191,577,653 is: 1,831,541,013.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,225,503 : 1,191,577,653 = 1,191,577,653 : x
  2. Step 2: Convert to fraction form
    775,225,503/1,191,577,653 = 1,191,577,653/x
  3. Step 3: Cross multiply
    775,225,503x = 1,191,577,653 × 1,191,577,653
  4. Step 4: Simplify right side
    775,225,503x = 1,419,857,303,128,988,416
  5. Step 5: Solve for x
    x = 1,419,857,303,128,988,416/775,225,503
  6. Step 6: Final answer
    x = 1,831,541,013.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.