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Finding the Third Proportional to 504,808,434 and 755,194,689

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Solution

The third proportional to 504,808,434 and 755,194,689 is: 1,129,773,157.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,808,434 : 755,194,689 = 755,194,689 : x
  2. Step 2: Convert to fraction form
    504,808,434/755,194,689 = 755,194,689/x
  3. Step 3: Cross multiply
    504,808,434x = 755,194,689 × 755,194,689
  4. Step 4: Simplify right side
    504,808,434x = 570,319,018,293,806,720
  5. Step 5: Solve for x
    x = 570,319,018,293,806,720/504,808,434
  6. Step 6: Final answer
    x = 1,129,773,157.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.