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Finding the Third Proportional to 346,479,863 and 721,620,634

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Solution

The third proportional to 346,479,863 and 721,620,634 is: 1,502,933,922.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,479,863 : 721,620,634 = 721,620,634 : x
  2. Step 2: Convert to fraction form
    346,479,863/721,620,634 = 721,620,634/x
  3. Step 3: Cross multiply
    346,479,863x = 721,620,634 × 721,620,634
  4. Step 4: Simplify right side
    346,479,863x = 520,736,339,414,561,984
  5. Step 5: Solve for x
    x = 520,736,339,414,561,984/346,479,863
  6. Step 6: Final answer
    x = 1,502,933,922.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.