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Finding the Third Proportional to 509,001,888 and 807,277,824

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Solution

The third proportional to 509,001,888 and 807,277,824 is: 1,280,343,944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,001,888 : 807,277,824 = 807,277,824 : x
  2. Step 2: Convert to fraction form
    509,001,888/807,277,824 = 807,277,824/x
  3. Step 3: Cross multiply
    509,001,888x = 807,277,824 × 807,277,824
  4. Step 4: Simplify right side
    509,001,888x = 651,697,485,122,174,976
  5. Step 5: Solve for x
    x = 651,697,485,122,174,976/509,001,888
  6. Step 6: Final answer
    x = 1,280,343,944.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.