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Finding the Third Proportional to 538,807,452 and 788,055,780

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Solution

The third proportional to 538,807,452 and 788,055,780 is: 1,152,604,534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,807,452 : 788,055,780 = 788,055,780 : x
  2. Step 2: Convert to fraction form
    538,807,452/788,055,780 = 788,055,780/x
  3. Step 3: Cross multiply
    538,807,452x = 788,055,780 × 788,055,780
  4. Step 4: Simplify right side
    538,807,452x = 621,031,912,391,408,384
  5. Step 5: Solve for x
    x = 621,031,912,391,408,384/538,807,452
  6. Step 6: Final answer
    x = 1,152,604,534.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.