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Finding the Third Proportional to 384,938,575 and 790,283,913

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Solution

The third proportional to 384,938,575 and 790,283,913 is: 1,622,463,176.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,938,575 : 790,283,913 = 790,283,913 : x
  2. Step 2: Convert to fraction form
    384,938,575/790,283,913 = 790,283,913/x
  3. Step 3: Cross multiply
    384,938,575x = 790,283,913 × 790,283,913
  4. Step 4: Simplify right side
    384,938,575x = 624,548,663,146,591,616
  5. Step 5: Solve for x
    x = 624,548,663,146,591,616/384,938,575
  6. Step 6: Final answer
    x = 1,622,463,176.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.