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Finding the Third Proportional to 504,312,992 and 1,104,284,608

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Solution

The third proportional to 504,312,992 and 1,104,284,608 is: 2,418,031,093.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,312,992 : 1,104,284,608 = 1,104,284,608 : x
  2. Step 2: Convert to fraction form
    504,312,992/1,104,284,608 = 1,104,284,608/x
  3. Step 3: Cross multiply
    504,312,992x = 1,104,284,608 × 1,104,284,608
  4. Step 4: Simplify right side
    504,312,992x = 1,219,444,495,465,713,664
  5. Step 5: Solve for x
    x = 1,219,444,495,465,713,664/504,312,992
  6. Step 6: Final answer
    x = 2,418,031,093.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.