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Finding the Third Proportional to 401,314,778 and 881,548,536

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Solution

The third proportional to 401,314,778 and 881,548,536 is: 1,936,454,533.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,314,778 : 881,548,536 = 881,548,536 : x
  2. Step 2: Convert to fraction form
    401,314,778/881,548,536 = 881,548,536/x
  3. Step 3: Cross multiply
    401,314,778x = 881,548,536 × 881,548,536
  4. Step 4: Simplify right side
    401,314,778x = 777,127,821,323,743,232
  5. Step 5: Solve for x
    x = 777,127,821,323,743,232/401,314,778
  6. Step 6: Final answer
    x = 1,936,454,533.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.