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Finding the Third Proportional to 525,514,881 and 739,101,519

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Solution

The third proportional to 525,514,881 and 739,101,519 is: 1,039,496,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,514,881 : 739,101,519 = 739,101,519 : x
  2. Step 2: Convert to fraction form
    525,514,881/739,101,519 = 739,101,519/x
  3. Step 3: Cross multiply
    525,514,881x = 739,101,519 × 739,101,519
  4. Step 4: Simplify right side
    525,514,881x = 546,271,055,388,107,392
  5. Step 5: Solve for x
    x = 546,271,055,388,107,392/525,514,881
  6. Step 6: Final answer
    x = 1,039,496,834.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.