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Finding the Third Proportional to 744,219,369 and 1,109,072,592

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Solution

The third proportional to 744,219,369 and 1,109,072,592 is: 1,652,794,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,219,369 : 1,109,072,592 = 1,109,072,592 : x
  2. Step 2: Convert to fraction form
    744,219,369/1,109,072,592 = 1,109,072,592/x
  3. Step 3: Cross multiply
    744,219,369x = 1,109,072,592 × 1,109,072,592
  4. Step 4: Simplify right side
    744,219,369x = 1,230,042,014,325,598,464
  5. Step 5: Solve for x
    x = 1,230,042,014,325,598,464/744,219,369
  6. Step 6: Final answer
    x = 1,652,794,949.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.