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Finding the Third Proportional to 271,734,534 and 586,492,704

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Solution

The third proportional to 271,734,534 and 586,492,704 is: 1,265,844,597.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,734,534 : 586,492,704 = 586,492,704 : x
  2. Step 2: Convert to fraction form
    271,734,534/586,492,704 = 586,492,704/x
  3. Step 3: Cross multiply
    271,734,534x = 586,492,704 × 586,492,704
  4. Step 4: Simplify right side
    271,734,534x = 343,973,691,845,231,616
  5. Step 5: Solve for x
    x = 343,973,691,845,231,616/271,734,534
  6. Step 6: Final answer
    x = 1,265,844,597.60

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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.